Question

Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply.

A x= -1.1
B x= -2.2
C x= 0
D x=-10
E x= 10

Answer 1

C & E

Explanation:

Answer 2

C x= 0 greater than

E x= 10 greater than

Explanation:

4(2 – x) > –2x – 3(4x + 1)

Distribute

8 –4x > –2x – 12x -3

Combine like terms

8 –4x > – 14x -3

Add 14x to each side

8 –4x+14x > – 14x+14x -3

8 +10x > -3

Subtract 8 from each side

8-8+10x>-3-8

10x > -11

Divide each side by 10

10x/10 >-11/10

x >-1.1

Any number greater than -1.1 is a solution

A x= -1.1 not greater than

B x= -2.2 not greater than

C x= 0 greater than

D x=-10 not greater than

E x= 10 greater than