Question

Solve for xx and graph the solution on the number line below.

4, x, is greater than or equal to, 16
4x≥
16

Answer 1

The inequality 4x ≥ 16 is solved by dividing both sides by 4, yielding x ≥ 4. This solution is represented on a number line with a solid circle at 4 and shading to the right, indicating all numbers greater than or equal to 4 are included.

Step-by-step explanation:

To solve the inequality 4x ≥ 16, we start by dividing both sides of the inequality by 4 in order to isolate the variable x. This gives us x ≥ 4, which means that x is greater than or equal to 4. To graph this solution on a number line, we draw a solid circle at the number 4 since the solution includes the number 4, and shade all the numbers to the right of 4 to show that the solution includes all numbers greater than or equal to 4.

Step-by-step solution:

1. Divide both sides by 4: 4x / 4 ≥ 16 / 4
2. Simplify: x ≥ 4
3. Draw a number line with a solid circle on 4.
4. Shade all the numbers to the right of 4.

This inequality solution signifies that any real number that is 4 or greater is a solution to the inequality 4x ≥ 16.