If 7 - 3x ≥ 1, what is the solution for x?

Practice Questions

Q1
If 7 - 3x ≥ 1, what is the solution for x?
  1. x ≤ 2
  2. x ≥ 2
  3. x ≤ 3
  4. x ≥ 3

Questions & Step-by-Step Solutions

If 7 - 3x ≥ 1, what is the solution for x?
  • Step 1: Start with the inequality: 7 - 3x ≥ 1.
  • Step 2: Subtract 7 from both sides to isolate the term with x: -3x ≥ 1 - 7.
  • Step 3: Simplify the right side: -3x ≥ -6.
  • Step 4: Divide both sides by -3. Remember, when you divide by a negative number, you must flip the inequality sign: x ≤ 2.
  • Inequalities – Understanding how to manipulate and solve inequalities, including reversing the inequality sign when multiplying or dividing by a negative number.
  • Algebraic Manipulation – Skills in rearranging equations and isolating variables to find solutions.
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