Solve the linear inequality 6x−3≥15

Question

6
𝑥
−
3
≥
15
.(1 point)
x
𝑥.........

Answer 1

To solve the linear inequality \( 6x - 3 \geq 15 \), follow these steps:

1. Add 3 to both sides of the inequality: \[ 6x - 3 + 3 \geq 15 + 3 \] This simplifies to: \[ 6x \geq 18 \]

2. Divide both sides by 6: \[ \frac{6x}{6} \geq \frac{18}{6} \] This simplifies to: \[ x \geq 3 \]

So, the solution to the inequality is: \[ x \geq 3 \]

This means that \( x \) can be any number greater than or equal to 3.