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
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
The correct first step is:
Divide both sides of the inequality by 4 to simplify: x/4 - 3 < x
The correct solution is:
x/4 - 3 < x
Subtract x/4 from both sides:
-3 < (3x/4)
Multiply both sides by 4 to clear the fraction:
-12 < 3x
Divide both sides by 3:
-4 < x