Question

Which of the following is a graph for the values of \( x \) defined by the inequality \( 26 \leq 2x<64 \)?

• A.

  

• B.

  

• C.

  

• D.

  

• E.

  

Hint:

When solving inequalities, always divide or multiply carefully, especially with negative numbers, as inequality signs may flip.

Answer 1

The Correct Option is D

Step 1: Start with inequality.
We are given: \[ 26 \leq 2x<64 \]
Step 2: Simplify inequality.
Divide the entire inequality by 2: \[ 13 \leq x<32 \]
Step 3: Interpret graph.
The value of \( x \) is greater than or equal to 13 but strictly less than 32.
This means the number line must include 13 (closed dot) and exclude 32 (open dot).
Final Answer: \[ \boxed{\text{The correct graph is (D).}} \]