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Solve for [tex]\( x \)[/tex].
[tex]\[ 3x = 6x - 2 \][/tex]

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Rewrite the following inequality in a more readable form:

[tex]\[ 5 \ \textless \ y - 8 \][/tex]

Sagot :

GinnyAnsweridn
Sure, let's solve the inequality [tex]\(5 < y - 8\)[/tex] step-by-step.

1. Start with the given inequality:
[tex]\[ 5 < y - 8 \][/tex]

2. Isolate [tex]\(y\)[/tex] on one side of the inequality.

To do this, we need to eliminate the [tex]\(-8\)[/tex] on the right side of the inequality. We can do this by adding [tex]\(8\)[/tex] to both sides.

[tex]\[ 5 + 8 < y - 8 + 8 \][/tex]

3. Simplify the expression:

Adding 8 to both sides gives us:
[tex]\[ 13 < y \][/tex]

4. Rewrite the inequality:

The final inequality is:
[tex]\[ y > 13 \][/tex]

Therefore, the solution to the inequality [tex]\(5 < y - 8\)[/tex] is:
[tex]\[ y > 13 \][/tex]

This means that [tex]\(y\)[/tex] must be greater than 13.
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