Multi-Step Inequalities

Multi-Step Inequalities

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To solve:

• Only add like terms!

• Get numbers on one side and variables on the other

• Multiply or divide to get the variable by itself

• If you multiply or divide by a negative number, flip the sign.

Multiple Choice

9 ≥ -2m + 2 − 3

• m ≤ 5

• m ≤ -5

• m ≥ -5

• m ≥ 5

Multiple Choice

6x + 10 > 5x - 12

• x > 2
• x < -2
• x < -22
• x > -22

Multiple Choice

6(n + 2) < -72

• n < -14
• n < 35/3
• n < -10
• ∞

Multiple Choice

Solve:

7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

Multiple Choice

 $6+\frac{1}{3}𝑥-3≤6$  

•  $x≤-9$  

•  $x≤9$  

•  $x\ge9$  

•  $x\ge-9$  

Multiple Choice

 $10+\frac{1}{6}x-15\ge1$  

•  $x\le-36$  

•  $x\le36$  

•  $x\ge-36$  

•  $x\ge36$  

Multiple Choice

Find the solution to the following problem:

x+2=x+4

• all real numbers

• x=0

• no solution

• many solutions

Multiple Choice

Solve each inequality, if possible. If the inequality has no solution, write no solution. If the solutions are all real numbers, write all real numbers.

• no solution

• all real numbers

• $w\le5$

• $w\ge3$

Multiple Choice

Solve each inequality, if possible. If the inequality has no solution, write no solution. If the solutions are all real numbers, write all real numbers.

• no solution

• all real numbers

• $x<5$

• $x>3$

Multiple Choice

Find the solution to the following problem:

x+2=x+4

• all real numbers

• x=0

• no solution

• many solutions