Question: If 5 - x > 2, what is the maximum integer value of x?
Options:
2
3
4
5
Correct Answer: 3
Solution:
5 - x > 2 => x < 3. The maximum integer value of x is 2.
If 5 - x > 2, what is the maximum integer value of x?
Practice Questions
Q1
If 5 - x > 2, what is the maximum integer value of x?
2
3
4
5
Questions & Step-by-Step Solutions
If 5 - x > 2, what is the maximum integer value of x?
Step 1: Start with the inequality 5 - x > 2.
Step 2: To isolate x, we need to get rid of the 5. Subtract 5 from both sides: 5 - x - 5 > 2 - 5.
Step 3: This simplifies to -x > -3.
Step 4: Now, we need to get x by itself. To do this, multiply both sides of the inequality by -1. Remember, when you multiply or divide by a negative number, you must flip the inequality sign: x < 3.
Step 5: The inequality x < 3 means that x can be any number less than 3. The maximum integer value that is less than 3 is 2.
Inequalities – Understanding how to manipulate and solve inequalities to find the range of possible values for a variable.
Integer Values – Identifying the maximum integer within a given range derived from an inequality.
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