To solve the inequality [tex]\(\frac{x}{2.5}<10\)[/tex] for [tex]\(x\)[/tex], follow these steps:
1. Isolate [tex]\(x\)[/tex]:
The given inequality is [tex]\(\frac{x}{2.5} < 10\)[/tex]. To isolate [tex]\(x\)[/tex], you need to get rid of the denominator (2.5).
2. Multiply both sides by 2.5:
To eliminate the fraction, multiply both sides of the inequality by 2.5:
[tex]\[
\left(\frac{x}{2.5}\right) \times 2.5 < 10 \times 2.5
\][/tex]
Simplifying this, we get:
[tex]\[
x < 25
\][/tex]
So, the solution to the inequality [tex]\(\frac{x}{2.5} < 10\)[/tex] is:
[tex]\[
x < 25
\][/tex]
The value of [tex]\(x\)[/tex] should be less than 25. Hence, [tex]\(x < 25\)[/tex].
