Question

Which inequality can this number line represent?

Answer 1

A. 5x - 2 > -22 and 6x - 7 < 11

Explanation:

A.

5x - 2 > -22 and 6x - 7 < 11

+2 +2 +7 +7

-------------------- -----------------

5x > -20 6x < 18

÷5 ÷5 ÷6 ÷6

---------------- -------------------

x > -4 x < 3

B.

x + 5 > 8 or 3 + 2x < -5

-5 -5 -3 -3

------------- ------------------

x > 3 or 2x < - 8

÷2 ÷2

x < -4

C.

5x - 2 > -22 or 6x - 7 < 11

+2 +2 +7 +7

-------------------- -----------------

5x > -20 6x < 18

÷5 ÷5 ÷6 ÷6

---------------- -------------------

x > -4 x < 3

D.

x + 5 > 8 and 3 + 2x < -5

-5 -5 -3 -3

------------- ------------------

x > 3 and 2x < - 8

÷2 ÷2

x < -4

I hope this helps!