Inequalities

Translate the sentence into an inequality:

The sum of three times a number and five is greater than or equal to negative four.

• 
  

  $3x+5\ge-4$
  

• $3x+5\le-4$

• $3x+5>-4$

• $6x+7>-7$

Translate the sentence into an inequality:

Six less than a number is greater than five.  

•  $x-6>5$  

•  $x-6<5$  

•  $x-6\ge5$  

•  $x-6\le5$  

Translate the sentence into an inequality:

A number divided by two plus seven is greater than or equal to eight.

• 
  

  $\frac{x}{2}+7\ge8$
  

• $\frac{x}{2}+7\le8$

• $\frac{x}{2}-8<7$

• $\frac{x}{2}-7>8$

Translate the sentence into an inequality:

Eighteen is greater than or equal to two times a number minus three.

• 
  

  $18\ge2x-3$
  

• $18\le2x-3$

• $18>2x+3$

• $18\ge2x+3$

Translate the sentence into an inequality:

The product of five and a number plus twelve is less than or equal to ten.

• 
  

  $5x+12\le10$
  

• $5x+12\ge10$

• $5x-12\ge10$

• $5x-12\le10$

Solve the inequality:

 $9x+3>30$  

•  $x>3$  

•  $x<3$  

•  $x\le3$  

•  $x\ge3$  

Solve the following inequality:

 $\frac{x}{5}-3\ge7$  

•  $x\ge50$  

•  $x\le50$  

•  $x>50$  

•  $x<50$  

Solve the following inequality:

 $3x-8\ge-17$  

•  $x\ge-3$  

•  $x\le-3$  

•  $x>-3$  

•  $x<-3$  

Solve the following inequality:

 $32>6x+8$  

•  $x<4$  

•  $x>4$  

•  $x\le4$  

•  $x\ge4$  

Solve the following inequality:

 $\frac{2}{3}x+7>21$  

•  $x>21$  

•  $x<21$  

•  $x\ge21$  

•  $x\le21$