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If 3x - 5 < 4, what is the range of x?

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Question: If 3x - 5 < 4, what is the range of x?

Options:

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

Correct Answer: x < 3

Solution: 

Solving gives 3x < 9, thus x < 3.

If 3x - 5 < 4, what is the range of x?

Practice Questions

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

Questions & Step-by-Step Solutions

If 3x - 5 < 4, what is the range of x?
  • Step 1: Start with the inequality 3x - 5 < 4.
  • Step 2: To isolate the term with x, add 5 to both sides of the inequality. This gives you 3x < 4 + 5.
  • Step 3: Simplify the right side. 4 + 5 equals 9, so now you have 3x < 9.
  • Step 4: Next, 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 now you have x < 3.
  • Step 6: The final answer is that x can be any number less than 3.
  • Inequalities – Understanding how to manipulate and solve inequalities to find the range of possible values for a variable.
  • Algebraic Manipulation – Applying algebraic techniques to isolate the variable and determine its constraints.
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