Math Problem Statement
Solution
The question visible in your image asks you to solve the inequality and graph the solution on the number line.
Step 1: Solve the inequality
Given: To isolate , add 1 to both sides: Or equivalently:
Step 2: Inequality Notation
The solution in inequality notation is:
Step 3: Graphing on the number line
On the number line, you would represent this by:
- An open circle at (since is strictly greater than 5, not equal to 5).
- A line extending to the right, indicating all values greater than 5.
Once you've represented this on the number line and input the inequality notation, you can submit your answer.
Do you have any questions or would you like further details on this problem?
Here are 5 related questions:
- What is the difference between a strict inequality and a non-strict inequality?
- How do you graph inequalities that involve "less than or equal to"?
- What are compound inequalities and how are they solved?
- Can an inequality have no solution? If yes, how can you recognize this?
- What changes when solving an inequality involving negative values?
Tip: When solving inequalities, always remember that multiplying or dividing by a negative number flips the inequality sign.
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Number Line Graphing
Formulas
Basic inequality manipulation
x > b (after isolating x)
Theorems
Properties of inequalities
Transitive property
Suitable Grade Level
Grade 7