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Solve the inequality for [tex]x[/tex]:

1. Start with the inequality: [tex]25 - 5x \geq -35[/tex]

2. Subtract 25 from both sides:
\[
25 - 5x - 25 \geq -35 - 25
\]
\[
-5x \geq -60
\]

3. Divide both sides by -5, remembering to flip the inequality sign:
\[
\frac{-5x}{-5} \leq \frac{-60}{-5}
\]
\[
x \leq 12
\]

Therefore, [tex]x \leq 12[/tex].

Answer :

Let's solve the inequality step by step.

We start with the inequality:
[tex]\[ 25 - 5x \geq -35 \][/tex]

1. Subtract 25 from both sides:
[tex]\[ 25 - 5x - 25 \geq -35 - 25 \][/tex]
This simplifies to:
[tex]\[ -5x \geq -60 \][/tex]

2. Divide both sides by -5:
Remember, when we divide or multiply an inequality by a negative number, we have to flip the inequality sign. Thus, divide by [tex]\(-5\)[/tex] and flip the sign:
[tex]\[ x \leq \frac{-60}{-5} \][/tex]

3. Calculate the division:
[tex]\[ \frac{-60}{-5} = 12 \][/tex]

So, the solution to the inequality is:
[tex]\[ x \leq 12 \][/tex]

Additionally, the division of [tex]\(-60 \div -5\)[/tex] yields:
[tex]\[ 12 \][/tex]

Therefore, the correct answer from the given options is [tex]\(x \leq 12\)[/tex].

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