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Solve the following inequality:
[tex]\[ 3n + 8 \geq 35 \][/tex]

Sagot :

GinnyAnswer
Sure, let's solve the given inequality step-by-step.

The inequality given is:
[tex]\[ 3n + 8 \geq 35 \][/tex]

Step 1: We need to isolate the term with the variable [tex]\( n \)[/tex]. Start by subtracting 8 from both sides of the inequality.
[tex]\[ 3n + 8 - 8 \geq 35 - 8 \][/tex]

Simplifying, we get:
[tex]\[ 3n \geq 27 \][/tex]

Step 2: Next, we divide both sides of the inequality by 3 to solve for [tex]\( n \)[/tex].
[tex]\[ \frac{3n}{3} \geq \frac{27}{3} \][/tex]

Simplifying, we get:
[tex]\[ n \geq 9 \][/tex]

Thus, the solution to the inequality [tex]\( 3n + 8 \geq 35 \)[/tex] is:
[tex]\[ n \geq 9 \][/tex]

This means that [tex]\( n \)[/tex] must be greater than or equal to 9 to satisfy the inequality.
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