Question

Solve: 2(x - 5) < -6(1 - x)

A.

x < -1

B.

x > -1

C.

x < 1

D.

x > 1

Answer 1

B. x > -1

Explanation:

Subtract the left side:

... 0 < -6(1 -x) -2(x-5)

... 0 < -6 +6x -2x +10 . . . . eliminate parentheses

... 0 < 4 +4x . . . . . . . . . . . collect terms

... 0 < 1 +x . . . . . . . . . . . . . divide by 4

... -1 < x . . . . . . . . . . . . . . . add -1. Matches selection B.