To solve the inequality $-4 \geq x - 11$, we can isolate $x$ by performing the following steps:

1. Add 11 to both sides to get rid of the $-11$ on the right-hand side: $-4 + 11 \geq x - 11 + 11$ Simplifying this: $7 \geq x$ or equivalently: $x \leq 7$

Thus, the solution to the inequality is: $x \leq 7$

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Related Questions:

1. What happens if you multiply or divide both sides of an inequality by a negative number?
2. How do you graph the solution $x \leq 7$ on a number line?
3. Can you solve $x - 11 \geq -4$ and compare the result?
4. What is the difference between solving equations and inequalities?
5. How do inequalities behave with absolute values?

Tip:

When solving inequalities, always be careful with the direction of the inequality, especially when multiplying or dividing by a negative number—it reverses the inequality sign.