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What is the solution to the inequality?

[tex]\[ 15 \ \textless \ 4 + x \][/tex]

A. [tex]\( x \ \textless \ 19 \)[/tex]

B. [tex]\( x \ \textgreater \ 19 \)[/tex]

C. [tex]\( x \ \textgreater \ 11 \)[/tex]

D. [tex]\( x \ \textless \ 11 \)[/tex]

Sagot :

GinnyAnsweridn
Let's solve the inequality provided:

[tex]\[ 15 < 4 + x \][/tex]

1. Isolate the variable [tex]\(x\)[/tex]:

To isolate [tex]\(x\)[/tex], we need to remove the constant term on the right-hand side of the inequality. We do this by subtracting 4 from both sides of the inequality.

[tex]\[ 15 - 4 < 4 + x - 4 \][/tex]

2. Simplify the inequality:

Simplify both sides of the inequality after subtraction.

[tex]\[ 11 < x \][/tex]

This can also be written as:

[tex]\[ x > 11 \][/tex]

Therefore, the solution to the inequality [tex]\( 15 < 4 + x \)[/tex] is:

[tex]\[ x > 11 \][/tex]

The correct option is:

C. [tex]\( x > 11 \)[/tex]
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