Question

question 2

solve the following inequality and give your answer in inequality notation.

\\4m - 10 < 18 \quad \text{and} \quad 6m + 5 > -55\\

\\(o \quad -10, 7\\)
\\(o \quad (7, -10)\\)
\\(o \quad (-\infty, -10) \cup (7, \infty)\\)
\\(o \quad (-10, 7)\\)

Explanation:

⚡ Using what you learned: Solving Compound Inequalities

Step 1: Solve the first inequality

$$ 4m - 10 < 18 $$

$$ 4m < 28 $$

$$ m < 7 $$

Step 2: Solve the second inequality

$$ 6m + 5 > -55 $$

$$ 6m > -60 $$

$$ m > -10 $$

Step 3: Find the intersection

The word "and" means we find where both conditions are true:

$$ -10 < m < 7 $$

In interval notation, this is written as:

$$ (-10, 7) $$

Answer:

\( (-10, 7) \)