College

Name three solutions of the inequality [tex]x \geq 66[/tex].

Choose the correct answer below:

A. [tex]63, 64, 65[/tex]
B. [tex]67, 68, 69[/tex]
C. [tex]64, 65, 66[/tex]
D. [tex]65, 66, 67[/tex]

Answer :

To solve the inequality [tex]\(x \geq 66\)[/tex], we need to find values of [tex]\(x\)[/tex] that are greater than or equal to 66.

Step 1: Understand the inequality
- The inequality [tex]\(x \geq 66\)[/tex] means any number [tex]\(x\)[/tex] that is 66 or more satisfies the inequality.

Step 2: Look at the answer choices
- We need to identify which option has values that are all greater than or equal to 66.

Step 3: Analyze each option:
- Option A: [tex]\(63, 64, 65\)[/tex]
None of these numbers are greater than or equal to 66.

- Option B: [tex]\(67, 68, 69\)[/tex]
All of these numbers are greater than 66. So, each satisfies the inequality [tex]\(x \geq 66\)[/tex].

- Option C: [tex]\(64, 65, 66\)[/tex]
Only 66 satisfies [tex]\(x \geq 66\)[/tex]. The numbers 64 and 65 do not satisfy the inequality.

- Option D: [tex]\(65, 66, 67\)[/tex]
The number 65 does not satisfy the inequality because it is not greater than or equal to 66.

Conclusion: The correct option is B ([tex]\(67, 68, 69\)[/tex]), as all these numbers satisfy the condition [tex]\(x \geq 66\)[/tex].