Question

1. -10 + 7x < 11

Explanation:

Step1: Add 10 to both sides

To isolate the term with \(x\), we add 10 to both sides of the inequality \(-10 + 7x<11\). This gives us \(-10 + 10+7x<11 + 10\), which simplifies to \(7x<21\).

Step2: Divide both sides by 7

To solve for \(x\), we divide both sides of the inequality \(7x < 21\) by 7. Since 7 is a positive number, the direction of the inequality sign remains the same. So we have \(\frac{7x}{7}<\frac{21}{7}\), which simplifies to \(x < 3\).

Answer:

\(x < 3\)