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Solve the inequality for [tex] x [/tex]:

[tex] x + 5 < 7 [/tex]

Answer :

To solve the inequality [tex]\( x + 5 < 7 \)[/tex], follow these steps:

1. Identify the inequality: We start with the inequality [tex]\( x + 5 < 7 \)[/tex].

2. Isolate the variable [tex]\( x \)[/tex]: We want to get [tex]\( x \)[/tex] by itself on one side of the inequality. To do this, we need to remove the [tex]\( +5 \)[/tex] from the left side.

3. Subtract 5 from both sides: This helps to cancel out the [tex]\( +5 \)[/tex] with [tex]\(-5\)[/tex] on the left side. So we subtract 5 from both sides of the inequality:
[tex]\[
x + 5 - 5 < 7 - 5
\][/tex]
This simplifies to:
[tex]\[
x < 2
\][/tex]

4. Conclusion: The solution to the inequality is [tex]\( x < 2 \)[/tex]. This means that any value of [tex]\( x \)[/tex] that is less than 2 will satisfy the original inequality.

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