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Determine the solution set for the inequality 5 - 2x ≤ 3.
Determine the solution set for the inequality 5 - 2x ≤ 3.
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Practice Questions
1 question
Q1
Determine the solution set for the inequality 5 - 2x ≤ 3.
x < 1
x > 1
x ≤ 1
x ≥ 1
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5 - 2x ≤ 3 => -2x ≤ -2 => x ≥ 1.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution set for the inequality 5 - 2x ≤ 3.
Solution:
5 - 2x ≤ 3 => -2x ≤ -2 => x ≥ 1.
Steps: 4
Show Steps
Step 1: Start with the inequality: 5 - 2x ≤ 3.
Step 2: Subtract 5 from both sides to isolate the term with x: -2x ≤ 3 - 5.
Step 3: Simplify the right side: -2x ≤ -2.
Step 4: Divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign: x ≥ 1.
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