Question

1. $5 leq m + 4 < 10$

Explanation:

Step1: Subtract 4 from all parts

To solve the compound inequality \(5 \leq m + 4 < 10\), we subtract 4 from each part of the inequality. This is based on the property of inequalities that if we perform the same operation (subtraction of 4 here) on all parts of a compound inequality, the inequality signs remain the same.

So, \(5 - 4 \leq m + 4 - 4 < 10 - 4\)

Step2: Simplify each part

Simplifying the left - hand side: \(5 - 4=1\)

Simplifying the middle part: \(m + 4-4 = m\)

Simplifying the right - hand side: \(10 - 4 = 6\)

Putting it all together, we get \(1\leq m<6\)

Answer:

The solution to the inequality \(5\leq m + 4<10\) is \(1\leq m<6\)