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Find the solution set for the inequality 2x + 1 ≤ 3x - 4.
Find the solution set for the inequality 2x + 1 ≤ 3x - 4.
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Practice Questions
1 question
Q1
Find the solution set for the inequality 2x + 1 ≤ 3x - 4.
x < 5
x > 5
x ≤ 5
x ≥ 5
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2x + 1 ≤ 3x - 4 => 1 + 4 ≤ x => x ≥ 5.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution set for the inequality 2x + 1 ≤ 3x - 4.
Solution:
2x + 1 ≤ 3x - 4 => 1 + 4 ≤ x => x ≥ 5.
Steps: 6
Show Steps
Step 1: Start with the inequality: 2x + 1 ≤ 3x - 4.
Step 2: To isolate x, first subtract 2x from both sides: 1 ≤ 3x - 2x - 4.
Step 3: This simplifies to: 1 ≤ x - 4.
Step 4: Next, add 4 to both sides to isolate x: 1 + 4 ≤ x.
Step 5: This simplifies to: 5 ≤ x.
Step 6: We can also write this as: x ≥ 5.
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