To solve the inequality [tex]\( 4a - 11 > 13 \)[/tex], follow these steps:
1. Isolate the term involving [tex]\( a \)[/tex]:
Start by getting rid of the constant term on the left side of the inequality. To do this, add 11 to both sides:
[tex]\[
4a - 11 + 11 > 13 + 11
\][/tex]
Simplifying this, you get:
[tex]\[
4a > 24
\][/tex]
2. Solve for [tex]\( a \)[/tex]:
Next, isolate [tex]\( a \)[/tex] by dividing both sides of the inequality by 4:
[tex]\[
\frac{4a}{4} > \frac{24}{4}
\][/tex]
Simplifying this, you get:
[tex]\[
a > 6
\][/tex]
So, the solution to the inequality [tex]\( 4a - 11 > 13 \)[/tex] is:
[tex]\[
a > 6
\][/tex]
