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

Question

x minus 2 greater than or equals minus 7

Answer 1

To solve the inequality, we will isolate x on one side of the inequality symbol.

x - 2 ≥ -7

Adding 2 to both sides of the inequality:

x - 2 + 2 ≥ -7 + 2

x ≥ -5

The solution set is all values of x greater than or equal to -5. To graph this on a number line, we would plot a closed circle at -5 and shade to the right of it.

In interval notation, the solution set can be written as [-5, ∞)