Solve [tex]2x + 6 \ \textgreater \ 20[/tex]

A. [tex]x \ \textless \ 13[/tex]
B. [tex]x \ \textgreater \ 13[/tex]
C. [tex]x \ \textgreater \ 7[/tex]
D. [tex]x \ \textless \ 7[/tex]



Answer :

To solve the inequality [tex]\(2x + 6 > 20\)[/tex], follow these detailed steps:

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

[tex]\[ 2x + 6 > 20 \][/tex]

Subtract 6 from both sides to isolate the term involving [tex]\(x\)[/tex]:

[tex]\[ 2x + 6 - 6 > 20 - 6 \][/tex]

Simplify the inequality:

[tex]\[ 2x > 14 \][/tex]

2. Solve for [tex]\(x\)[/tex]:

Divide both sides by 2 to solve for [tex]\(x\)[/tex]:

[tex]\[ \frac{2x}{2} > \frac{14}{2} \][/tex]

Simplify:

[tex]\[ x > 7 \][/tex]

Therefore, the solution to the inequality [tex]\(2x + 6 > 20\)[/tex] is [tex]\(x > 7\)[/tex].

So, the correct choice is:

C. [tex]\(x > 7\)[/tex]