At Silver Gym, membership is $20 per month, and personal training sessions are $35 each. At Fit Factor, membership is $40 per month, and personal training sessions are $25 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

20+35x=40+25x, 35x- 25x=40-20, 10x=20, x=2 , 2 sessions

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