Solve for xx and graph the solution on the number line below.
4, x, plus, 7, is greater than or equal to, minus, 13, and, 15, is greater than or equal to, 4, x, plus, 7
4x+7≥−13and
15≥4x+7

The graph above represents the solution \( -5 \leq x \leq 2 \), with the blue line indicating the interval between -5 and 2, inclusive of both endpoints.

Do you want any further details or have any questions?

Here are five related questions to expand your understanding:
1. How do you solve a system of inequalities involving absolute values?
2. What happens when the inequality symbol is reversed?
3. How do you solve compound inequalities with more than two parts?
4. How does the solution change if the inequality involves fractions?
5. Can you graph inequalities with two variables?

**Tip:** Always remember to reverse the inequality symbol when multiplying or dividing by a negative number!

Solve for x and graph the solution on the number line below. 4x + 7 ≥ -13 and 15 ≥ 4x + 7

Learn how to solve and graph the system of inequalities 4x + 7 ≥ -13 and 15 ≥ 4x + 7. This solution includes solving for x and visualizing the answer on a number line, highlighting key algebraic concepts. Suitable for students in Grades 7-10.

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