Math Problem Statement
Solve and graph the solution to each of the inequality
Solve and graph the solution to each of the inequality.
Solution
The inequality in the image appears to be:
Let's solve the inequality:
- Add 2 to both sides to isolate : Simplifying:
So, the solution to the inequality is:
Graph of the Solution:
To graph this inequality on a number line:
- Draw a number line.
- Place a closed circle at to indicate that 5 is included in the solution (because of the "less than or equal to" sign).
- Shade the line to the left of 5 to show that all values less than or equal to 5 are solutions.
Would you like a visual graph of this solution or further details?
Here are 5 related questions:
- How would you solve the inequality ?
- What happens if you have a strict inequality like ?
- How do you solve and graph inequalities that involve division or multiplication by a negative number?
- Can you solve compound inequalities such as ?
- How do you graph inequalities on a coordinate plane?
Tip: Always remember to reverse the inequality symbol when multiplying or dividing both sides by a negative number.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Linear Equations
Formulas
x - 2 ≤ 3
Theorems
Addition Property of Inequality
Suitable Grade Level
Grades 6-8