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Determine the solution set for the inequality 5x - 7 < 3.

Practice Questions

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

Questions & Step-by-Step Solutions

Determine the solution set for the inequality 5x - 7 < 3.
Correct Answer: x < 2
  • Step 1: Start with the inequality: 5x - 7 < 3.
  • Step 2: Add 7 to both sides of the inequality to isolate the term with x. This gives you: 5x < 3 + 7.
  • Step 3: Simplify the right side: 3 + 7 = 10. Now you have: 5x < 10.
  • Step 4: Divide both sides of the inequality by 5 to solve for x. This gives you: x < 10 / 5.
  • Step 5: Simplify the right side: 10 / 5 = 2. Now you have: x < 2.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Applying operations to isolate the variable and solve for its value.
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