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 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 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 4 to simplify: x4−32<x

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

1 answer

The correct first step is to multiply both sides by x to simplify the inequality: x(x−6)<4x.

The correct solution is x<6.
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