7th 5 Topic Review Inequalities

7th 5 Topic Review Inequalities

Solving Inequalities:

• Solve inequalities the same way you would equations.

• EXCEPT: When you multiply or divide by a negative, you must switch the direction of the inequality.

• Agreed 5 < 6

• Multiply both sides by -1

• -1(5) -1(6)

• -5 > -6

 $3\left(x-5\right)\ge18$  

• Distribute:  $3x-15\ge18$  

• Add 15 to both sides:  $3x\ge33$  

• Divide both sides by 3:  $x\ge11$  

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Multiple Choice

 $4\left(x-7\right)<8$  First step for solving:

• Add to both sides

• Distribute

• Divided on both sides

• Switch the direction of the inequality

Multiple Choice

 $4\left(x-7\right)<8$  2nd step for solving:

• Add to both sides

• Distribute

• Divided on both sides

• Switch the direction of the inequality

Multiple Choice

 $4\left(x-7\right)<8$  3rd step for solving:

• Add to both sides

• Distribute

• Divided on both sides

• Switch the direction of the inequality

 $-3\left(x+5\right)<27$  

• Distribute the -3 to all terms in the parentheses:  $-3x-15<27$  

• Add 15 to both sides:  $-3x\ <\ 42$  

• Divide both sides by -3 and switch the direction of the inequality:  $x>-14$  

Multiple Choice

 $-4\left(x+2\right)\ge16$  Solve

•  $x\le4$  

•  $x\ge-4$  

•  $x\ge4$  

•  $x\le-4$