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[tex]$x / 4 \ \textgreater \ 12$[/tex] has the same solution set as:

A. [tex]$x \ \textgreater \ 48$[/tex]

B. [tex]$x \ \textgreater \ 4$[/tex]

C. [tex]$x \ \textgreater \ 16$[/tex]

D. [tex]$x \ \textgreater \ 3$[/tex]

Sagot :

GinnyAnswer
To solve the inequality [tex]\( \frac{x}{4} > 12 \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the inequality. Here is a step-by-step solution:

1. Start with the given inequality:
[tex]\[ \frac{x}{4} > 12 \][/tex]

2. Eliminate the fraction by multiplying both sides of the inequality by 4:
[tex]\[ \frac{x}{4} \times 4 > 12 \times 4 \][/tex]

3. Simplify both sides:
[tex]\[ x > 48 \][/tex]

Hence, the inequality [tex]\( \frac{x}{4} > 12 \)[/tex] has the same solution set as [tex]\( x > 48 \)[/tex]. This means any value of [tex]\( x \)[/tex] that is greater than 48 will satisfy the original inequality.
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