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Solve for [tex]\( x \)[/tex]:
[tex]\[ 4x - 5 \geq 23 \][/tex]

Sagot :

GinnyAnswer
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]
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