Question

2(4x – 3) ≥ –3(3x) + 5x?Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Answer 1

Answer:

x<=-1/2

Step-by-step explanation:

An inequality is a mathematical relationship that compares two unequal numbers using the number line

To solve the inequality 2x – 6 ≥ 6(x – 2) + 8

We first simplify both sides of the inequality

2x-6≥6x-12+8

2x-6≥6x-4

Add 6 to both sides

2x≥6x+2

-4x≥2

x≥2/-4

Sign changes when we divide both sides of equation by a negative sign

x<=-1/2

Therefore x is less than or equal to -1/2 on the number line