What value of x is in the solution set of 2(3x - 1) ≥ 4x - 6?

Solution:

The mathematical expressions in which both sides are not equal are called inequalities. In inequality, unlike in equations, we compare two values.

The equal to sign in between is replaced by less than, greater than or not equal to sign.

Given:

Inequality is 2(3x - 1) ≥ 4x - 6

6x - 2 ≥ 4x - 6

Add -4x on both the sides,

6x - 2 - 4x ≥ 4x - 6 - 4x

2x - 2 ≥ - 6

Add 2 on both the sides,

2x - 2 + 2 ≥ - 6 + 2

2x ≥ -4

Divide both the sides by 2,

x ≥ -2

Therefore,

the solution set is [-2, ∞]

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What value of x is in the solution set of 2(3x - 1) ≥ 4x - 6?

Summary:

The solution set of 2(3x - 1) ≥ 4x - 6 is [-2, ∞].