SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: Which system of linear inequalities describes the graph?



A ) y ≥ -32x - 3; y ≤ - x + 3
B ) y ≤ 32x + 3; y ≥ - x - 3
C ) y ≥ 32x + 3; y > - x + 3
D ) y ≤ 32x + 3; y < - x - 3

Steps to derive

1 The y-intercept of the Line 1 is 3 and the slope is 32.
 [From the graph.]

2 The equation of Line 1 in slope-intercept form is y = 32x + 3
 [Substitute m = 32 and b = 3 in the equation y = mx + b.]

3 As Line 1 is a solid line and the region above the line is shaded, the equation should be y ≥ 32x + 3.
 [From the graph.]

4 The y-intercept of Line 2 is 3 and the slope is - 1.
 [From the graph.]

5 The equation of Line 2 in slope-intercept form is y = - x + 3
 [Substitute m = - 1 and b = 3 in the equation y = mx + b.]

6 As Line 2 is a dashed line and the region above the line is shaded, the inequality should be y > - x + 3.
 [From the graph.]

7 So, the system of linear inequalities is y ≥ 32x + 3 and y > - x + 3.



Hence the right answer is Option C

Click Here To Go Back


Few Other Questions -

  • Which model shows the fraction 64?..
  • The percentages of the unemployed men aged 25 to 29 from 1960 to 1990 are shown in the bar..
  • The diagonal of a square is 812 in. Write this fraction as an improper fraction...
  • The number of passengers traveling from New York to Seattle between the years 1960-1965 wa..
  • The length of the ribbon is 912 in. Identify the mixed number as an improper fraction...
  • The dimensions of a rectangular steel box are l × w × h. How many times will t..
  • Which of the models is the greater fraction?..
  • Which is a diameter for the circle?..
  • Find the diameter of the circle...
  • Pick out the figure that represents a circle...
  • Find the radius of the circle...
  • Which of the following is the absolute value of |3 + 4|?..
  • Find the value of |5 - 7|...
  • Find the points that lie inside the circle...
  • The radius of a circular toy wheel is 2 cm. Find the diameter of the toy wheel...
  • Which of the models represents a smaller fraction?..
  • Find the relation between OA and OB...
  • Identify the points that lie on the circumference of the circle...
  • Identify the circle that has a radius of 3 cm...
  • What is the relation between radius (r) and the diameter (d)?..
  • Which of the number lines represents the sum of - 8 and - 4?..
  • The graph shows the hourly wages of production workers in different countries. In which co..
  • Find the difference between 23 and 12...
  • Choose a model that represents a fraction greater than 36...
  • Choose a model that represents a fraction greater than 58...
  • The bar graph shows the population of four regions, Northeast (NE), Midwest (MW), South (S..
  • Which figure has the greatest area?..
  • Which of the figures has larger perimeter?..
  • Choose a model that represents a fraction greater than 168...
  • Which of the figures has the greatest area?..
  • Which of the given figures has greater perimeter?..
  • Which of the figures has greater area?..
  • Choose a model that represents a mixed number greater than 104...
  • Which of the given figures has a larger perimeter?..
  • What is the perimeter of the parallelogram?..
  • This is the graph of the fee paid by a student during six years. What is the percentage in..
  • What is the area of the triangle?..
  • Find the perimeter of the toy wheel, if the radius is 5 in...
  • The table shows the fat content (in grams) in various food items. Pick the appropriate bar..
  • The cost of an article during six years is shown in the line graph. By what amount did the..
  • The bar graph shows the number of flower shows arranged each month from January to August...
  • Find the volume of the cube whose edge is 5 cm...
  • Find the volume of a chocolate box, which is in the form of a rectangular prism, that has ..
  • Find the perimeter of the square ABCD...
  • The graph shows the number of students and their respective scores in a test. How many mor..
  • The number of Internet hosts(in millions) during the years 1991 to 1996 is represented in ..
  • What is the perimeter of the figure shown?..
  • Choose a model that represents an improper fraction less than 1610...
  • Solve -3 ≤ x - 5 ≤ 4 and graph the inequality...
  • A boy dropped a ball from the top of a building of height 100.8 meters. The equation t = &..
  • Which line segment in the circle shown represents the diameter?..
  • Which figure has a line that represents the radius of the circle?..
  • Which of the circles show/s a chord?..
  • Which of these circles has/have a line through its/their diameter/s?..
  • What is the value of the expression |z| + x - y, when x = 8, y = -5 and z = -3?..
  • John ate 310 of a chocolate pie and Rebecca ate 710 of it. Which statement is true for thi..
  • Choose the right comparison between 13 and 12...
  • Find the value of 7(- 3) + [(21 - 3) ÷ 3]...
  • The line graph shows the number of computers (in thousands) sold each year in a state from..
  • A card is drawn from a deck of 52 cards. Express verbally the probability that the card se..
  • Identify the probability of getting a number greater than 3 when a number cube is rolled...
  • A bag contains 8 burgundy balls, 3 purple balls and 8 violet balls. Express verbally the p..
  • There are some gray and some black buttons in the figure. Identify the ratio of gray to bl..
  • A box contains 2 pencils, 4 pens and 2 erasers. Express the probability of picking a penci..
  • The sum of two numbers is less than 563. If one of the numbers is 320, then which of the f..
  • Express verbally the probability of selecting a number that is divisible by 3 from the num..
  • Calculate the percent rise in the number of vehicle registrations from 1990 to 2000 from t..
  • Identify the probability of getting a prime number when the dice is rolled...
  • Express verbally the probability of getting a product of 12 when two dice are rolled...
  • Express verbally the probability of picking a vowel from the word PEN...
  • There are some small and some big buttons in the figure. Write the ratio of total buttons ..
  • There are 30 students in a class out of which 10 are girls and 20 are boys. Express the pr..
  • Identify the probability of picking a club card from a deck of 52 playing cards...
  • Express verbally the probability of selecting a green pencil from the box...
  • Identify the probability of picking a red color rose...
  • Using the line graph, find the year in which the maximum number of cars were imported...
  • Express verbally the probability of drawing an ace card from the set of cards...
  • Which pair represents congruent figures?..
  • Which of these rightly compares 14 and 12?..
  • Thirty six less than a number is less than fifty seven. Which of the choices can be the nu..
  • Choose the figure that is similar to the triangle shown...
  • Express verbally the probability of picking a pencil from the bag...
  • Which of these rightly compares 14 and 13? ..
  • Identify the probability of getting a sum of 8 when two dice are rolled simultaneously...
  • Jason cut 511 of a loaf of bread into slices. Compare the left-otu part of loaf to the par..
  • 415 of the animals in a circus company are elephants, 315 of them are tigers. Which of the..
  • Express verbally the probability of selecting a vowel from A, E, I, O and U...
  • Find the right comparison between 15 and 16...
  • Frank and Brian bought chocolates. Frank took 511 of them and Brian took the rest. Compare..
  • A man has 4 quarters, 7 dimes and 8 pennies in his pocket. Choose the probability of picki..
  • What percent of the grid is unshaded?..
  • Which of the graphs represents the inequality? - 6.5 + x ≥ - 2.6..
  • One ticket is drawn from a bag containing 30 tickets numbered 1 to 30. Find out the probab..
  • 26 of marbles in a bag are red in color; 36 of them are green; and the rest are brown. Ord..
  • Justin bought a toy bike with his pocket money. He spent 47 of the money to buy it. Is the..
  • Which shaded area represents 44%?..
  • Tanya requires 14 yard of cloth to make a pillow cover. She has 12 yard of the cloth with ..
  • There are same number of students in both Mrs. Smith and Mrs Jone's class. 58 of them are ..
  • The table shows the number of students enrolled in the elementary, the middle, and the hig..
  • Which pair of figures are congruent?..
    		•