Solve 2(x−3)≤3x−22(𝑥−3)≤3𝑥−2.
Question
Solve 2(x−3)≤3x−22(𝑥−3)≤3𝑥−2.
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Solution
Sure, let's solve the inequality step by step:
- Distribute the 2 in the first part of the inequality: 2x - 6 ≤ 3x - 2
- To isolate x, subtract 2x from both sides: -6 ≤ x - 2
- Then, add 2 to both sides to solve for x: -4 ≤ x
So, the solution to the inequality 2(x−3)≤3x−2 is x ≥ -4.
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