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Solve the inequality: 2(x - 1) ≥ 3x + 4.

Practice Questions

Q1
Solve the inequality: 2(x - 1) ≥ 3x + 4.
  1. x ≤ -2
  2. x ≥ -2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Solve the inequality: 2(x - 1) ≥ 3x + 4.
  • Step 1: Distribute the 2 on the left side of the inequality: 2(x - 1) becomes 2x - 2. So, we have 2x - 2 ≥ 3x + 4.
  • Step 2: To get all the x terms on one side, subtract 2x from both sides of the inequality. This gives us -2 ≥ x + 4.
  • Step 3: Now, we want to isolate x. To do this, subtract 4 from both sides. This results in -6 ≥ x.
  • Step 4: Finally, we can reverse the inequality to express it in a more standard form. This gives us x ≤ -6.
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