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]
