To solve the inequality [tex]\(-7x > 10\)[/tex], follow these steps:
1. Isolate the variable [tex]\(x\)[/tex]:
- First, divide both sides of the inequality by [tex]\(-7\)[/tex]. Remember, when you divide or multiply both sides of an inequality by a negative number, you must reverse the direction of the inequality sign.
So, we have:
[tex]\[
x < \frac{10}{-7}
\][/tex]
2. Simplify the fraction:
- Simplify the right-hand side:
[tex]\[
x < -\frac{10}{7}
\][/tex]
Therefore, the solution to the inequality [tex]\(-7x > 10\)[/tex] is:
[tex]\[
x < -\frac{10}{7}
\][/tex]
