Answered

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Which choice is the solution to the inequality below?

[tex]3x \ \textgreater \ 15[/tex]

A. [tex]x \ \textgreater \ 15[/tex]
B. [tex]x \ \textless \ 5[/tex]
C. [tex]x \geq 15[/tex]
D. [tex]x \ \textgreater \ 5[/tex]

Sagot :

GinnyAnswer
Let's solve the inequality step-by-step.

Given inequality:
[tex]\[ 3x > 15 \][/tex]

To isolate \( x \), we need to divide both sides of the inequality by 3:

[tex]\[ \frac{3x}{3} > \frac{15}{3} \][/tex]

Simplify the left and right sides:

[tex]\[ x > 5 \][/tex]

The inequality \( x > 5 \) means that the solution to this inequality is all \( x \) values greater than 5.

Now, we look at the options provided:

A. \( x > 15 \)

B. \( x < 5 \)

C. \( x \geq 15 \)

D. \( x > 5 \)

The correct choice that matches our solution \( x > 5 \) is:

D. [tex]\( x > 5 \)[/tex]
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