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Solve the inequality 4 - x ≤ 2x + 1. What is the solution?
Solve the inequality 4 - x ≤ 2x + 1. What is the solution?
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Practice Questions
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Q1
Solve the inequality 4 - x ≤ 2x + 1. What is the solution?
x ≤ 1
x ≥ 1
x ≤ 2
x ≥ 2
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4 - x ≤ 2x + 1 => 3 ≤ 3x => x ≥ 1.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the inequality 4 - x ≤ 2x + 1. What is the solution?
Solution:
4 - x ≤ 2x + 1 => 3 ≤ 3x => x ≥ 1.
Steps: 7
Show Steps
Step 1: Start with the inequality: 4 - x ≤ 2x + 1.
Step 2: To isolate x, first add x to both sides of the inequality. This gives you: 4 ≤ 2x + x + 1.
Step 3: Combine like terms on the right side: 4 ≤ 3x + 1.
Step 4: Next, subtract 1 from both sides to get: 4 - 1 ≤ 3x.
Step 5: Simplify the left side: 3 ≤ 3x.
Step 6: Finally, divide both sides by 3 to solve for x: 1 ≤ x.
Step 7: This can be rewritten as x ≥ 1.
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