Question

Solve |1 - 4x| > 7 . I need help finding the answer to this!

Answer 1

Option B

Explanation:

Case 1:

When 1 - 4x is positive,

1 - 4x > 7

Subtract 1 from both sides,

-4x > 7 -1

-4x > 6

Divide both sides by (-4), when we divide the inequality by a negative sign , the inequality changes.

`\sf x < (-6)/(4)\\\\\\x < -1.5`

Case2:

When 1 - 4x is negative,

-(1-4x) > 7

-1 + 4x > 7

4x > 7 +1

4x > 8

x > 8÷ 4

x > 2

From both the case combined, we get

x < -1.5 U x > 2