Sure, let's solve the given inequality step by step.
Given inequality:
[tex]\[ 4x - 5 \geq 23 \][/tex]
1. Add 5 to both sides of the inequality:
To eliminate the constant term on the left side of the inequality, add 5 to both sides.
[tex]\[ (4x - 5) + 5 \geq 23 + 5 \][/tex]
Simplifying this, we get:
[tex]\[ 4x \geq 28 \][/tex]
2. Divide both sides by 4:
To isolate the variable [tex]\( x \)[/tex], divide both sides of the inequality by 4.
[tex]\[ \frac{4x}{4} \geq \frac{28}{4} \][/tex]
Simplifying this, we get:
[tex]\[ x \geq 7 \][/tex]
So, the solution to the inequality [tex]\( 4x - 5 \geq 23 \)[/tex] is:
[tex]\[ x \geq 7 \][/tex]
