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Determine the solution for the inequality 7x - 2 ≤ 5x + 6.
Determine the solution for the inequality 7x - 2 ≤ 5x + 6.
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Practice Questions
1 question
Q1
Determine the solution for the inequality 7x - 2 ≤ 5x + 6.
x ≤ 4
x ≥ 4
x ≤ 3
x ≥ 3
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7x - 2 ≤ 5x + 6 => 2x ≤ 8 => x ≤ 4.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution for the inequality 7x - 2 ≤ 5x + 6.
Solution:
7x - 2 ≤ 5x + 6 => 2x ≤ 8 => x ≤ 4.
Steps: 6
Show Steps
Step 1: Start with the inequality: 7x - 2 ≤ 5x + 6.
Step 2: To isolate the variable x, subtract 5x from both sides: 7x - 5x - 2 ≤ 6.
Step 3: Simplify the left side: 2x - 2 ≤ 6.
Step 4: Next, add 2 to both sides to eliminate the -2: 2x - 2 + 2 ≤ 6 + 2.
Step 5: Simplify again: 2x ≤ 8.
Step 6: Finally, divide both sides by 2 to solve for x: x ≤ 4.
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