If 7 - 2x ≥ 3, what is the value of x?

Practice Questions

Q1
If 7 - 2x ≥ 3, what is the value of x?
  1. x ≤ 2
  2. x ≥ 2
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

If 7 - 2x ≥ 3, what is the value of x?
  • Step 1: Start with the inequality 7 - 2x ≥ 3.
  • Step 2: Subtract 7 from both sides to isolate the term with x. This gives us -2x ≥ 3 - 7.
  • Step 3: Simplify the right side. 3 - 7 equals -4, so now we have -2x ≥ -4.
  • Step 4: To solve for x, divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign. So, -2x / -2 becomes x, and -4 / -2 becomes 2.
  • Step 5: This gives us x ≤ 2 as the final answer.
  • 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 their values.
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