Question

Solve the compound inequality: 30>x+10>20

A. 20>x>10
B.40>x>30
C.2010
D. No possible solutions

Answer 1

A. 20>x>10

Explanation:

30>x+10>20

Split this up:

x + 10 < 30

x < 20.

x + 10 > 20

x > 10.

Answer 2

10 < x < 20

Explanation:

Given

30 > x + 10 > 20 ( subtract 10 from each interval )

20 > x > 10 → A, which can be expressed as

10 < x < 20