Solving the inequality for x, which statement shows a good first step and which is the correct solution?

x−6<x4
(2 points)
Responses

Divide both sides of the inequality by 4 to simplify: x4−32<x

Divide both sides of the inequality by 4 to simplify: x4−32<x

Multiply both sides by 4 to clear the inequality of fractions: 4x−24<x

Multiply both sides by 4 to clear the inequality of fractions: 4x−24<x

Divide both sides of the inequality by x to simplify: 1−6x<4
x<6

Divide both sides of the inequality by x to simplify: 1−6x<4
x<6

Multiply both sides by x to get the "x" terms on the same side of the inequality: x−6<4

1 answer

Divide both sides of the inequality by 4 to simplify: x/4 - 6/4 < x/4

The correct solution is: x/4 - 3/2 < 0