Solve the inequality. Graph the solution set and write it in interval notation.
x minus 4 greater than or equals minus 11
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, ∞)