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Select the best answer for the question.

1. Solve this inequality: [tex]3p - 6 \ \textgreater \ 21[/tex].

A. [tex]p \ \textgreater \ 9[/tex]
B. [tex]p \ \textgreater \ 5[/tex]
C. [tex]p \ \textgreater \ -9[/tex]
D. [tex]p \ \textgreater \ -5[/tex]

Sagot :

GinnyAnsweridn
To solve the inequality [tex]\(3p - 6 > 21\)[/tex], we will follow these steps:

1. Add 6 to both sides of the inequality:

[tex]\[ 3p - 6 + 6 > 21 + 6 \][/tex]

Simplifying this, we get:

[tex]\[ 3p > 27 \][/tex]

2. Divide both sides of the inequality by 3:

[tex]\[ \frac{3p}{3} > \frac{27}{3} \][/tex]

Simplifying this, we get:

[tex]\[ p > 9 \][/tex]

The solution to the inequality [tex]\(3p - 6 > 21\)[/tex] is [tex]\(p > 9\)[/tex].

Therefore, the best answer is:

A. [tex]\( p > 9 \)[/tex]
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