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Find the value of x in the inequality 3x - 5 < 4.

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Question: Find the value of x in the inequality 3x - 5 < 4.

Options:

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

Correct Answer: x < 3

Solution: 

Add 5 to both sides: 3x < 9. Divide by 3: x < 3.

Find the value of x in the inequality 3x - 5 < 4.

Practice Questions

Q1
Find the value of x in the inequality 3x - 5 < 4.
  1. x < 3
  2. x > 3
  3. x < 1
  4. x > 1

Questions & Step-by-Step Solutions

Find the value of x in the inequality 3x - 5 < 4.
  • Step 1: Start with the inequality 3x - 5 < 4.
  • Step 2: Add 5 to both sides of the inequality to get rid of the -5. This gives you 3x < 4 + 5.
  • Step 3: Simplify the right side. 4 + 5 equals 9, so now you have 3x < 9.
  • Step 4: Now, divide both sides of the inequality by 3 to solve for x. This gives you x < 9 / 3.
  • Step 5: Simplify the right side. 9 divided by 3 equals 3, so you have x < 3.
  • Inequalities – Understanding how to manipulate and solve inequalities, including adding, subtracting, multiplying, and dividing both sides.
  • Algebraic Manipulation – Applying basic algebraic operations to isolate the variable.
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