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If 4x - 7 < 9, what is the maximum value of x?

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Question: If 4x - 7 < 9, what is the maximum value of x?

Options:

  1. 4
  2. 3
  3. 2
  4. 1

Correct Answer: 3

Solution:

Step 1: Add 7 to both sides: 4x < 16. Step 2: Divide by 4: x < 4.

If 4x - 7 < 9, what is the maximum value of x?

Practice Questions

Q1
If 4x - 7 < 9, what is the maximum value of x?
  1. 4
  2. 3
  3. 2
  4. 1

Questions & Step-by-Step Solutions

If 4x - 7 < 9, what is the maximum value of x?
  • Step 1: Start with the inequality 4x - 7 < 9.
  • Step 2: Add 7 to both sides of the inequality to eliminate -7. This gives you 4x < 16.
  • Step 3: Now, divide both sides of the inequality by 4 to solve for x. This gives you x < 4.
  • Inequalities – Understanding how to manipulate and solve inequalities to find the range of possible values for a variable.
  • Algebraic Manipulation – Applying basic algebraic operations such as addition and division to isolate the variable.
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