Question

Yuma is solving the inequality 3x−23≥−5.

To solve the inequality, he begins by solving the equation as shown.

Which number line represents the solution to the inequality?

Urgent answer plz. Thank u.

Answer 1

`3x \geqslant 23 - 5 \\ 3x \geqslant 18 \\ x \geqslant 6 \\`

Answer 2

Answer: x≥ 6

Explanation:

To solve this inequality

3x - 23 ≥ -5

First, what you need to do is to add 23 to both-side of the inequality, Hence;

3x -23 + 23 ≥ -5 + 23

(-23 + 23 = 0, also -5 + 23 = 18)

3x ≥ 18

To get the value of x, we need to divide both-side of the inequality by 3

3x / 3 ≥ 18/3

(On the left hand side of the equation, the three at the numerator will cancel out that of the denominator, then on the right hand side of the equation, 3 will divide 18 which will give 6)

x ≥ 6