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If 4x + 1 > 9, what is the smallest integer value of x?

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Question: If 4x + 1 > 9, what is the smallest integer value of x?

Options:

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: 2

Solution: 

Solving gives 4x > 8, thus x > 2. The smallest integer is 3.

If 4x + 1 > 9, what is the smallest integer value of x?

Practice Questions

Q1
If 4x + 1 > 9, what is the smallest integer value of x?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

If 4x + 1 > 9, what is the smallest integer value of x?
  • Step 1: Start with the inequality 4x + 1 > 9.
  • Step 2: Subtract 1 from both sides to isolate the term with x. This gives you 4x > 8.
  • Step 3: Now, divide both sides by 4 to solve for x. This results in x > 2.
  • Step 4: Since we need the smallest integer value of x that is greater than 2, we look for the next whole number, which is 3.
  • Inequalities – Understanding how to manipulate and solve inequalities to find variable ranges.
  • Integer Solutions – Identifying the smallest integer that satisfies the inequality.
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