Multi-Step Inequalities

Solve:
7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

Solve the inequality.
- 3(9 + x) ≥ - 21

• x ≤ 2

• x ≥ 2

• x ≥ - 2

• x ≤ - 2

x - 14 < -8

• A

• B

• C

• D

Solve. 9 + 4x > 21

• x >-3

• x > 3

• x > 6

• x < 3

Graph the solution set of the inequality.

–4n + 1 > –23

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At most and No more than are both clue words for...

• <

• >

• ≤

• ≥

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

• 2 + 8x < 12

• 2x + 8 > 12

• 2(x+8) ≠ 12

• 8(2+x) 

You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.

• 12x + 1200 > 400

• 12x + 400 < 1200

• 12x + 400 > 1200

• 12x + 400 < 1200

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d

• 25 - 2.5d < 50 - 3.25d

• 25 + 2.5d > 50 + 3.25d

• 25 + 2.5d < 50 + 3.25d

3 < -5n + 2n

• n < 1

• n > 1

• n < -1

• n > -1