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1. Solve the inequality [tex]0 \ \textgreater \ -3x - 2x[/tex].

A. [tex]x \ \textgreater \ 1[/tex]
B. [tex]x \ \textgreater \ -36[/tex]
C. [tex]x \ \textgreater \ -28[/tex]
D. [tex]x \ \textgreater \ 0[/tex]

Sagot :

GinnyAnsweridn
To solve the inequality [tex]\(0 > -3x - 2x\)[/tex], we need to follow a systematic approach.

1. Combine like terms: Combine the terms involving [tex]\(x\)[/tex] on the right-hand side.
[tex]\[ 0 > -3x - 2x \][/tex]
[tex]\[ 0 > -5x \][/tex]

2. Isolate [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we need to divide both sides of the inequality by [tex]\(-5\)[/tex]. It's important to remember that when dividing or multiplying both sides of an inequality by a negative number, we must reverse the direction of the inequality.
[tex]\[ \frac{0}{-5} < x \][/tex]
[tex]\[ 0 < x \][/tex]
[tex]\[ x > 0 \][/tex]

Hence, the solution to the inequality [tex]\(0 > -3x - 2x\)[/tex] is [tex]\(x > 0\)[/tex].

So, the best answer is:
D. [tex]\(x > 0\)[/tex]
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