Graphing and Two-Step Inequalities

Grace has $45 at most in her purse.

• g<45

• g>45

• g≤45

• g≥45

Pick the correct letter for:
6 > x

• A

• B

• C

• D

Match the graph with its inequality.

• b > –2

• b < –2

• b ≥ –2

• b ≤ –2

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

• 200+25w ≥ 500

• 500-25w ≥ 200

• 500+25w ≤ 200

• 200-25w ≤ 500

Twice a certain number, increased by 5, is less than three times the same number.

• 2x + 5 > 3x

• 2x + 5 < 3x

• 2x + 5 ≤ 3x

• 2x + 5 ≥ 3x

A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?

• 15c < 1800 + 10c

• 15c > 1800 + 10c

• 15c = 1800 + 10c

• 10c < 1800 + 15c

Monica earns $363 a week. Rachel works for $8.25 an hour.Which inequality represents how many hours must Rachel work to make as much as or more than Monica?

• 363≥8.25h

• 363<8.25h

• 363≤8.25h

• 363>8.25h

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

• ≤, <

• ≥, >

Which graph matches the inequality
-2 ≥ n?

• A

• B

• C

• D

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a