To solve the inequality [tex]\( 4a - 11 > 13 \)[/tex], we go through the following steps:
1. Isolate the term with the variable [tex]\( a \)[/tex]:
- Start by adding 11 to both sides of the inequality to eliminate the constant term on the left side.
[tex]\[
4a - 11 + 11 > 13 + 11
\][/tex]
Simplifying this, we get:
[tex]\[
4a > 24
\][/tex]
2. Solve for [tex]\( a \)[/tex] by isolating it:
- Divide both sides of the inequality by 4 to solve for [tex]\( a \)[/tex].
[tex]\[
\frac{4a}{4} > \frac{24}{4}
\][/tex]
Simplifying the division, we get:
[tex]\[
a > 6
\][/tex]
So, the solution to the inequality [tex]\( 4a - 11 > 13 \)[/tex] is:
[tex]\[
a > 6
\][/tex]
