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Solve for [tex]\( x \)[/tex]:

[tex]\[ x - 7 \ \textgreater \ 10 \][/tex]

A) [tex]\( x \ \textgreater \ 17 \)[/tex]

B) [tex]\( x \ \textgreater \ -17 \)[/tex]

C) [tex]\( x \ \textless \ 17 \)[/tex]

D) [tex]\( x \ \textless \ -17 \)[/tex]



Answer :

GinnyAnswer
To solve the inequality [tex]\( x - 7 > 10 \)[/tex], follow these steps:

1. Isolate the variable [tex]\( x \)[/tex]:
- To do that, you need to get rid of the [tex]\(-7\)[/tex] on the left side of the inequality.
- You can achieve this by adding [tex]\(7\)[/tex] to both sides of the inequality.

[tex]\[ x - 7 + 7 > 10 + 7 \][/tex]

2. Simplify both sides:
- On the left side, [tex]\(-7 + 7\)[/tex] cancels out, leaving you with [tex]\(x\)[/tex].
- On the right side, [tex]\(10 + 7\)[/tex] equals [tex]\(17\)[/tex].

[tex]\[ x > 17 \][/tex]

Therefore, the solution to the inequality is:

[tex]\[ x > 17 \][/tex]

So, the correct answer is [tex]\( A) \, x > 17 \)[/tex].

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