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

x−6<x4
(2 points)
Responses

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

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

5 answers

The correct first step would be to add 6 to both sides of the inequality: x−6 < x+4.

The correct solution would be: x < 10.
Solving the inequality for x, which statement shows a good first step and which is the correct solution?

x−6<x4
(2 points)
Responses

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

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
The correct first step would be to add 6 to both sides of the inequality: x−6 < x+4.

The correct solution would be: x < 10.
You need to solve this equation for x: ax−7=26


Which would be the best first step you could make to solve the equation?

(1 point)
Responses

Combine ax - 7 to get -7x
Combine ax - 7 to get -7x

add 7 to both sides of the equation
add 7 to both sides of the equation

subtract 7 from the left side of the equation
subtract 7 from the left side of the equation
The best first step to solve the equation ax - 7 = 26 would be to add 7 to both sides of the equation.