Question

1. construct and solve an inequality for the following situation: \2 groups of p, added to 10, is less than 22.\

Explanation:

Step1: Translate the situation into an inequality.

"2 groups of \( p \)" means \( 2p \), "added to 10" means \( 2p + 10 \), "is less than 22" gives the inequality \( 2p + 10 < 22 \).

Step2: Solve the inequality for \( p \).

Subtract 10 from both sides: \( 2p + 10 - 10 < 22 - 10 \), which simplifies to \( 2p < 12 \).
Then divide both sides by 2: \( \frac{2p}{2} < \frac{12}{2} \), so \( p < 6 \).

Answer:

The inequality is \( 2p + 10 < 22 \) and the solution is \( p < 6 \).