Solve the inequality. Graph the solution set and write it in interval notation.

Question

x minus 4 greater than or equals minus 11

Answer 1

To solve the inequality, we need to isolate the variable x.

x - 4 ≥ -11

First, we can add 4 to both sides of the inequality:

x - 4 + 4 ≥ -11 + 4

This simplifies to:

x ≥ -7

The solution set for this inequality is all real numbers greater than or equal to -7.

Graphically, this would be represented by a shaded region on a number line to the right of -7, including -7. The shaded region would extend indefinitely to the right.

In interval notation, the solution set would be written as:

[-7, ∞)