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If -2x + 5 < 1, what is the value of x?

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Question: If -2x + 5 < 1, what is the value of x?

Options:

  1. x < 2
  2. x > 2
  3. x < 3
  4. x > 3

Correct Answer: x < 2

Solution:

Rearranging gives -2x < -4, thus x > 2.

If -2x + 5 < 1, what is the value of x?

Practice Questions

Q1
If -2x + 5 < 1, what is the value of x?
  1. x < 2
  2. x > 2
  3. x < 3
  4. x > 3

Questions & Step-by-Step Solutions

If -2x + 5 < 1, what is the value of x?
  • Step 1: Start with the inequality -2x + 5 < 1.
  • Step 2: Subtract 5 from both sides to isolate the term with x. This gives -2x < 1 - 5.
  • Step 3: Simplify the right side. 1 - 5 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.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Rearranging Equations – The process of isolating the variable on one side of the inequality.
  • Sign Reversal – Recognizing that multiplying or dividing by a negative number reverses the inequality sign.
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