7th 5-7 Solve Multi Step Inequalities

Solve the inequality: 12 ≥​ 6(12x+​3).

• $-\frac{1}{12}\ge x$

• $-\frac{1}{12}\le x$

• $-\frac{5}{12}\ge x$

• $-\frac{5}{12}\le x$

Solve the inequality:

 $24\ \le\ 58+5\left(x-3.8\right)$  

•  $x\le3$  

•  $x\ge3$  

•  $x\ge-3$  

•  $x\le-3$  

Review the work shown solving the inequality. Should the inequality symbol been reversed?

• Yes, because 2 is positive.

• ​No, because 2 is positive.

• ​Yes, because −4 is negative.

• No, because −4 is negative.

For what values of x is the perimeter of the figure greater than 112 ​meters?

• $x>55$

• $x<55$

• $x>27$

• $x<27$

Solve the inequality.

 $2\left(2.1x+4.5\right)\ge21.6$  

•  $x\le4$  

•  $x\ge4$  

•  $x\ge3$  

•  $x\le3$  

Solve the inequality.

 $-34<-2\left(4x-1\right)$  

•  $x<-4.5$  

•  $x>-4.5$  

•  $x<4.5$  

•  $x>4.5$  

Solve the inequality.

 $9\left(n+2\right)-5n\le34$  

•  $n\ge8$  

•  $n\le8$  

•  $n\le4$  

•  $n\ge4$  

Which is the mistake in solving?

 $7\left(n+2\right)-5n\le34$ :  $7n+14-5n\le34$ :  $2n+14\le34$ :  $2n\le48$ :  $n\le24$  

• They should have added 5n to both sides

• They should have switched the direction of the inequality.

• They should have subtracted 14 from both sides.

• They distributed incorrectly.

 $24\ge58+5\left(x-3.8\right)$  

Choose the correct graph for the solution to:

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Jackson has at least five more than twice as many Lego sets as Brock has. Which inequality represents the situation?

• $B\le2J+5$

• $J\ge2B+5$

• $J\le2B+5$

• $B\ge2J+5$