Inequalities

Julia wants to go bowling at the Syosset Bowling Alley. Each game costs $4.25. She needs to rent shoes, which costs $3.75. Julia does not want to spend more than $25. What is the maximum number of games Julia can bowl? Which translation matches the situation?

• 3.75x + 4.25 ≥ 25
• 3.75 + 4.25x ≤ 25
• 3.75 + 4.25x  ≥ 25
• 3.75x + 4.25 ≤ 25

The length of a rectangle is 8 inches and the width is expressed as (x – 4) inches. The perimeter of the rectangle is more than 48 inches. Write an inequality to find all possible values for x.

• 2x + 8 >48
• x + 4 > 48
• 2x + 16 > 48
• x > 2

Luke went to the St. Boniface Feast with $22.50 in his pocket. He bought a hot dog and a drink for $3.75, and then wanted to spend the rest of his money on tickets for rides which cost $1.25 per ticket. Write an inequality if Luke does not exceed 22.50.

• 22.50 - 3.75x ≥ 1.25
• 22.50 - 1.25x > 3.75
• 1.25x + 3.75 < 22.50
• 22.50 ≥ 1.25x + 3.75

Jack’s age is three years more than twice his younger brother’s, Jimmy’s, age. If the sum of their ages is at most 18, write an inequality to find the possible ages Jimmy.

• 3x + 3  ≥   18
• 2x + 3 ≥ 18
• 3x + 3 ≤ 18
• 2x + 3 ≤ 18

5x - 3 > 2What value below is a possible solution for x?

• 1
• 1.5
• - 0.20
• 0.75

What inequality does this graph represent?

• x > -22
• x < -22
• x > -18
• x < -18

What inequality represents the graph ?

• -2 < x
• -2 > x
• -2 ≤ x
• x ≤ -2

• y > 3
• y < 3
• y > 5
• y < 5

• 100 - 9.99 > 15.99x
• 15.99 + 9.99x ≤  100
• 15.99x + 9.99 ≤ 100
• 15.99x - 9.99 ≤ 100

5x - 3 < -18

• x > -3
• x < -3
• x > 3
• x < 3