Sure, let's solve the given inequality step by step:
We start with the given inequality:
[tex]\[
2u - 10 \geq 18
\][/tex]
Step 1: Add 10 to both sides of the inequality to isolate the term with [tex]\( u \)[/tex]. This is done to remove the constant term on the left side.
[tex]\[
2u - 10 + 10 \geq 18 + 10
\][/tex]
Step 2: Simplify both sides after adding 10.
[tex]\[
2u \geq 28
\][/tex]
Step 3: Divide both sides of the inequality by 2 to solve for [tex]\( u \)[/tex]. This is done to isolate [tex]\( u \)[/tex] completely.
[tex]\[
\frac{2u}{2} \geq \frac{28}{2}
\][/tex]
Step 4: Simplify the result.
[tex]\[
u \geq 14
\][/tex]
Thus, the solution to the inequality [tex]\( 2u - 10 \geq 18 \)[/tex] is:
[tex]\[
u \geq 14
\][/tex]
