Solve for [tex]\( x \)[/tex]:
[tex]\[ x + 5 \ \textless \ 7 \][/tex]

A. [tex]\(\{ \text{all numbers less than } \frac{7}{5} \}\)[/tex]

B. [tex]\(\{ \text{all numbers less than 2} \}\)[/tex]

C. [tex]\(\{ \text{all numbers less than 7} \}\)[/tex]

D. [tex]\(\{ \text{all numbers less than 12} \}\)[/tex]

E. None of these



Answer :

Certainly! Let's solve the inequality step by step.

We are given the inequality:
[tex]\[ x + 5 < 7 \][/tex]

To isolate [tex]\( x \)[/tex], we need to subtract 5 from both sides of the inequality. Here's how you do it:

1. Start with the original inequality:
[tex]\[ x + 5 < 7 \][/tex]

2. Subtract 5 from both sides to isolate [tex]\( x \)[/tex]:
[tex]\[ (x + 5) - 5 < 7 - 5 \][/tex]

3. Simplify both sides:
[tex]\[ x < 2 \][/tex]

So, the solution to the inequality [tex]\( x + 5 < 7 \)[/tex] is:
[tex]\[ x < 2 \][/tex]

This means [tex]\( x \)[/tex] can be any number that is less than 2.

Therefore, the correct answer is:
[tex]\[ \{ \text{all numbers less than } 2 \} \][/tex]