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]
