Answered

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What is the solution to this inequality?

[tex]\[ x - 8 \ \textgreater \ -3 \][/tex]

A. [tex]\( x \ \textless \ -11 \)[/tex]
B. [tex]\( x \ \textless \ 5 \)[/tex]
C. [tex]\( x \ \textgreater \ 5 \)[/tex]
D. [tex]\( x \ \textgreater \ -11 \)[/tex]

Sagot :

GinnyAnswer
To solve the inequality [tex]\( x - 8 > -3 \)[/tex], let's go through the steps:

1. Start with the given inequality:
[tex]\[ x - 8 > -3 \][/tex]

2. Add 8 to both sides of the inequality to isolate the variable [tex]\( x \)[/tex] on the left-hand side:
[tex]\[ x - 8 + 8 > -3 + 8 \][/tex]

3. Simplify both sides:
[tex]\[ x > 5 \][/tex]

So, the solution to the inequality [tex]\( x - 8 > -3 \)[/tex] is:
[tex]\[ x > 5 \][/tex]

Therefore, the correct answer is:
C. [tex]\( x > 5 \)[/tex]
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