To solve the inequality [tex]\(8x + 4 > 68\)[/tex], let's follow these steps:
1. Subtract 4 from both sides of the inequality:
[tex]\[
8x + 4 - 4 > 68 - 4
\][/tex]
Simplifying this, we get:
[tex]\[
8x > 64
\][/tex]
2. Divide both sides by 8:
[tex]\[
\frac{8x}{8} > \frac{64}{8}
\][/tex]
Simplifying this, we get:
[tex]\[
x > 8
\][/tex]
Thus, the solution to the inequality [tex]\(8x + 4 > 68\)[/tex] is [tex]\(x > 8\)[/tex]. This means that for any value of [tex]\(x\)[/tex] greater than 8, the inequality will hold true.
