Under her cell phone plan, Nora pays a flat cost of $43 per month and $3 per gigabyte. She wants to keep her bill under $65 per month. Which inequality can be used to determine g, the maximum number of gigbytes Nora can use while staying within her budget?

7.3 months

Step-by-step explanation:

Given data

Flat cost= $43

Cost per gigabyte= $3

Let the function for the total cost be described as

y=mg+c

where g is the number of gigabyte

We are told that she wants to keep y<$65

65<3g+43

65-43<3g

22<3g

22/3<g

g<7.3 months

Hence the number of months should be less than 7.3

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1