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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.
  • 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 - 7 + 7 ≥ 3 + 7.
  • Step 3: Simplify both sides. The left side becomes 5x and the right side becomes 10. So 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 divided by 5 is 2. So now you have: x ≥ 2.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Algebraic Manipulation – Applying basic algebraic operations to both sides of the inequality.
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