Question

Solve the inequality and graph the solution.

−0.7m + 5.6 ≥ 8.4

A: A number line with tick marks every one unit from negative 10 to 0. There is an open circle at negative four and shading to the left that ends with an arrow pointing left at negative 8.

B: A number line with tick marks every one unit from negative 6 to 3. There is an open circle at negative four and shading to the right that ends with an arrow pointing right at positive 1.

C: A number line with tick marks every one unit from negative 9 to 1. There is a closed circle at negative four and shading to the left that ends with an arrow pointing left at negative 9.

D: A number line with tick marks every one unit from negative 7 to 5. There is a closed circle at negative four and shading to the right that ends with an arrow pointing right at positive 1.

Answer 1

C. A number line with tick marks every one unit from negative 9 to 1. There is a closed circle at negative four and shading to the left that ends with an arrow pointing left at negative 9.

Explanation:

Step 1: Refine equation by multiplying both sides by 10

`10(-0.7m + 5.6)\geq 8.4 *10`

`-7m+56\geq 84`

Step 2: Subtract 56 from both sides

`-7m\geq28`

Step 3: Divide both sides by -7 (switch inequality sign)

`m\leq-4`

↓ Number line example below ↓