Question

What is the solution set of x+2≥6
and 3x≥6
?

Answer 1

No its not

Answer 2

To find the solution set for the inequalities:

1) x + 2 ≥ 6:

Subtract 2 from both sides of the inequality,
x + 2 - 2 ≥ 6 - 2,
x ≥ 4.

The solution set for this inequality is x ≥ 4.

2) 3x ≥ 6:

Divide both sides of the inequality by 3,
(3x)/3 ≥ 6/3,
x ≥ 2.

The solution set for this inequality is x ≥ 2.

Therefore, the solution set for the pair of inequalities is x ≥ 4 and x ≥ 2. Since both inequalities have the same solution for x (x is greater than or equal to 2), the solution set is x ≥ 2.