High School

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Solve the inequality:

[tex] x - 2 < 5 [/tex]

Choose the correct solution:

A. [tex] x < 7 [/tex]
B. [tex] x < 3 [/tex]
C. [tex] x \geq 7 [/tex]
D. [tex] x \leq 7 [/tex]

Answer :

To solve the inequality [tex]\( x - 2 < 5 \)[/tex], let's work through it step by step:

1. Original Inequality: [tex]\( x - 2 < 5 \)[/tex]

2. Isolate [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], we need to eliminate the [tex]\( -2 \)[/tex] on the left side.

3. Add 2 to Both Sides:
[tex]\[
x - 2 + 2 < 5 + 2
\][/tex]
This simplifies to:
[tex]\[
x < 7
\][/tex]

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

This means [tex]\( x \)[/tex] can be any number less than 7 to satisfy the inequality. Among the given options, the correct choice is [tex]\( x < 7 \)[/tex].

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