Question

Solve each inequality and graph its solution

1). -5 + 5 ( 5 - 2m ) ≥ 60
2). 5 ( 4n + 5 ) - 4 ≤ 101

Answer 1

1: m < -4 2:n < 4

Explanation:

−5+5(5−2m)>60

Step 1: Simplify both sides of the inequality.

−10m+20>60

Step 2: Subtract 20 from both sides.

−10m+20−20>60−20

−10m>40

Step 3: Divide both sides by -10.

−10m

−10

>

40

−10

m<−4

Let's solve your inequality step-by-step.

5(4n+5)−4<101

Step 1: Simplify both sides of the inequality.

20n+21<101

Step 2: Subtract 21 from both sides.

20n+21−21<101−21

20n<80

Step 3: Divide both sides by 20.

20n

20

<

80

20

n<4