2.10.4 Matching Inequalities and Solutions

Activity

Match each inequality to a graph that represents its solutions. Be prepared to show your reasoning.

• $6x\le 3x$
• $\frac{1}{4}x>-\frac{1}{2}$
• $5x+4\ge 7x$
• $8x-2<-4(x-1)$
• $\frac{4x-1}{3}>-1$
• $\frac{12}{5}-\frac{x}{5}\le x$

Graph A

Graph B

Graph C

Graph D

Graph E

Graph F

Use this inequality for questions 1 – 2:

$6x\le 3x$

Use this inequality for questions 3 and 4:

$\frac{1}{4}x>-\frac{1}{2}$

Use this inequality for questions 5 – 6:

$5x+4\ge 7x$

Use this inequality for questions 7 and 8:

$8x-2<-4(x-1)$

Use this inequality for questions 9 – 10:

$\frac{4x-1}{3}>-1$

Use this inequality for questions 11 and 12:

$\frac{12}{5}-\frac{x}{5}\le x$