Inequalities from Words

Write an inequality for this situation:

You must be at least 18 years old to join the military.

• x > 18

• x < 18

• x ≥ 18

• x ≤ 18

Translate the sentence into an inequality.

Seven subtracted from n is greater than or equal to 18.

• n - 7 > 18

• 7 - n ≥ 18

• n - 7 ≥ 18

• n + 7 ≥ 18

You downloaded a video game to your computer. You have a 60 minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. Write an inequality to show how many levels you can play. DO NOT SOLVE

• 5x-7 ≥ 60

• 7x+5 ≤ 60

• 7+5 ≤ 60x

• 7x-5 ≥ 60

Melissa wants to spend no more than $300 on school clothes. She spends $75 on a coat and then wants to buy some sweaters that are on special for $10 each. Write an inequality to show how many sweaters Melissa can buy. DO NOT SOLVE

• 75x-10 ≥ 300

• 75+10 ≤ 300x

• 10x ≥ 300

• 75+10x ≤ 300

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500

• 500 + 25x ≥ 200

• 500 - 25x ≥ 200

• 500 - 25x ≤ 200

"is no more than"

• <

• >

• ≤

• ≥

"is no less than"

• <

• >

• ≤

• ≥