Question

Solve the inequality −17 + 2x ≤ 19 − 4x.

Answer 1

Explanation:

_17 + 2× < 19 _ 4×

grouping of like terms

2x + 4x < 19+ 17

add both sides

6x < 36

divide both sides by 6

6x/6 < 36/6

x < 6

therefore the sign changes

where x >6

Answer 2

x ≤ 6

Explanation:

Let's solve your inequality step-by-step.

−17+2x≤19−4x

Step 1: Simplify both sides of the inequality.

2x−17≤−4x+19

Step 2: Add 4x to both sides.

2x−17+4x≤−4x+19+4x

6x−17≤19

Step 3: Add 17 to both sides.

6x−17+17≤19+17

6x≤36

Step 4: Divide both sides by 6.

6x /6 ≤ 36 /6

x≤6