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Find the solution set for the inequality 2x - 7 < 3.

Practice Questions

Q1
Find the solution set for the inequality 2x - 7 < 3.
  1. x < 5
  2. x > 5
  3. x < 4
  4. x > 4

Questions & Step-by-Step Solutions

Find the solution set for the inequality 2x - 7 < 3.
Correct Answer: x < 5
  • Step 1: Start with the inequality 2x - 7 < 3.
  • Step 2: Add 7 to both sides of the inequality to get rid of the -7. This gives you 2x < 3 + 7.
  • Step 3: Simplify the right side. 3 + 7 equals 10, so now you have 2x < 10.
  • Step 4: Now, divide both sides of the inequality by 2 to solve for x. This gives you x < 10 / 2.
  • Step 5: Simplify the right side. 10 divided by 2 equals 5, so now you have x < 5.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Operations – Applying addition and division to isolate the variable.
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