Math Problem Statement
For this two-variable inequality, put the number 1 in for x and select the set of matching numbers for y. The inequality is y > x + 3.
Solution
The inequality given in the image is:
We are asked to substitute into this inequality and find the set of values for that satisfy the inequality.
Step 1: Substitute into the inequality.
This simplifies to:
Step 2: Identify matching values for .
The inequality means that any value of greater than 4 will satisfy the inequality. Therefore, possible values for could be:
- , etc.
In general, can be any number greater than 4.
Would you like further details or have any other questions about this problem?
Here are 5 related questions you might consider:
- What happens if we change the inequality to ?
- How would the solution change if were a different number, say ?
- What is the graphical representation of the inequality ?
- How can we solve similar inequalities involving negative numbers for ?
- What is the solution for if the inequality were ?
Tip: When solving inequalities, always consider the boundary values and whether they are included (for or ) or excluded (for or ).
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Math Problem Analysis
Mathematical Concepts
Inequalities
Substitution
Formulas
y > x + 3
Theorems
-
Suitable Grade Level
Grades 6-8