Math Problem Statement
Solve the inequality and graph the solution on the line provided: 2 + 2x < -12
Solution
Let's solve the inequality and then graph the solution.
Inequality:
Step 1: Subtract 2 from both sides
Step 2: Divide by 2 to isolate
Inequality Notation:
Graphing:
On the number line, you'd plot an open circle at to indicate that is not included in the solution. Then shade everything to the left of because the inequality is .
Would you like more details or further clarification?
Here are some related questions:
- How would the solution change if the inequality were ?
- Can you explain why dividing by a positive number doesn't flip the inequality?
- How do you graph a solution for ?
- What is the solution to the inequality ?
- How do you solve an inequality if you have a fraction, like ?
Tip: Always remember that dividing or multiplying by a negative number flips the inequality sign!
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Linear Equations
Formulas
Basic algebraic manipulation
Solving linear inequalities
Theorems
Properties of inequalities: When dividing by a positive number, the inequality sign remains the same
Suitable Grade Level
Grades 7-9