Math Problem Statement
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
Solution
The graph above represents the solution , 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:
- How do you solve a system of inequalities involving absolute values?
- What happens when the inequality symbol is reversed?
- How do you solve compound inequalities with more than two parts?
- How does the solution change if the inequality involves fractions?
- Can you graph inequalities with two variables?
Tip: Always remember to reverse the inequality symbol when multiplying or dividing by a negative number!
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Graphing on Number Line
Formulas
Linear inequality 4x + 7 ≥ -13
Linear inequality 15 ≥ 4x + 7
Theorems
Inequality properties
Reversing inequalities when multiplying or dividing by a negative number
Suitable Grade Level
Grades 7-10
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