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Solve the inequality:
[tex]\[ x + 2 + x + 2 + x + 2 \ \textless \ 24 \][/tex]

Sagot :

GinnyAnswer
Absolutely, let's solve the inequality step-by-step.

1. Start by simplifying the left side of the inequality:

[tex]\[ x + 2 + x + 2 + x + 21 + x + 2 < 24 \][/tex]

2. Combine like terms by adding the coefficients of [tex]\(x\)[/tex] and the constants separately:

[tex]\[ x + x + x + x + 2 + 2 + 21 + 2 \][/tex]

3. This simplifies to:

[tex]\[ 4x + 27 < 24 \][/tex]

4. The next step is to isolate [tex]\(x\)[/tex]. First, subtract 27 from both sides of the inequality:

[tex]\[ 4x + 27 - 27 < 24 - 27 \][/tex]

[tex]\[ 4x < -3 \][/tex]

5. Finally, solve for [tex]\(x\)[/tex] by dividing both sides of the inequality by 4:

[tex]\[ x < \frac{-3}{4} \][/tex]

6. This simplifies to:

[tex]\[ x < -0.75 \][/tex]

Thus, the solution to the inequality is:

[tex]\[ x < -0.75 \][/tex]
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