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What is the solution for the inequality 7x + 2 ≤ 5x + 10?
What is the solution for the inequality 7x + 2 ≤ 5x + 10?
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Q1
What is the solution for the inequality 7x + 2 ≤ 5x + 10?
x ≤ 4
x ≥ 4
x ≤ 3
x ≥ 3
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7x + 2 ≤ 5x + 10 => 2x ≤ 8 => x ≤ 4.
Questions & Step-by-step Solutions
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Q
Q: What is the solution for the inequality 7x + 2 ≤ 5x + 10?
Solution:
7x + 2 ≤ 5x + 10 => 2x ≤ 8 => x ≤ 4.
Steps: 7
Show Steps
Step 1: Start with the inequality: 7x + 2 ≤ 5x + 10.
Step 2: To isolate the variable x, subtract 5x from both sides: 7x - 5x + 2 ≤ 10.
Step 3: This simplifies to 2x + 2 ≤ 10.
Step 4: Next, subtract 2 from both sides: 2x ≤ 10 - 2.
Step 5: This simplifies to 2x ≤ 8.
Step 6: Now, divide both sides by 2 to solve for x: x ≤ 8 / 2.
Step 7: This simplifies to x ≤ 4.
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