Question

Solve 3x - 7 ≥ 14, then plot the solution on the number line. please help me ​

Answer 1

To solve the inequality 3x - 7 ≥ 14, add 7 to both sides to isolate the variable. Divide both sides by 3 to solve for x. The solution is x ≥ 7.

Step-by-step explanation:

To solve the inequality 3x - 7 ≥ 14, we can start by adding 7 to both sides of the inequality to isolate the variable:

3x - 7 + 7 ≥ 14 + 7

3x ≥ 21

Next, we divide both sides of the inequality by 3 to solve for x:

x ≥ 7

So the solution to the inequality is x greater than or equal to 7. To plot this solution on a number line, we represent all the numbers that are greater than or equal to 7 by shading the line starting from 7 and extending to the right. The point at 7 is included in the solution.

Answer 2

Step-by-step explanation:

`3x-7\ge 14\\ \\ 3x\ge 21\\ \\ x\ge 7\\ \\ \text{The graph will be shaded from the x=7 vertical line and rightward to infinity.}`