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What is the solution set for the inequality 7 - 4x ≤ 3?
What is the solution set for the inequality 7 - 4x ≤ 3?
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Practice Questions
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Q1
What is the solution set for the inequality 7 - 4x ≤ 3?
x ≥ 1
x ≤ 1
x ≥ -1
x ≤ -1
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7 - 4x ≤ 3 => -4x ≤ -4 => x ≥ 1.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the solution set for the inequality 7 - 4x ≤ 3?
Solution:
7 - 4x ≤ 3 => -4x ≤ -4 => x ≥ 1.
Steps: 4
Show Steps
Step 1: Start with the inequality: 7 - 4x ≤ 3.
Step 2: Subtract 7 from both sides to isolate the term with x: -4x ≤ 3 - 7.
Step 3: Simplify the right side: -4x ≤ -4.
Step 4: Divide both sides by -4. Remember, when you divide by a negative number, you must flip the inequality sign: x ≥ 1.
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