Sierra had to pay the school for two textbooks that she lost. one textbook cost $55, and the other cost $75. her mother wrote two separate checks for each expense. write two integers that represent the change to her mother’s checking account balance. then, write an inequality statement that shows the relationship between these two numbers.

Step-by-step explanation:

We have to make the following assumption to answer the following question:

Let $x be the current bank balance of Sierra's mother.

Her mother wrote two separate checks to pay for the lost textbook, one of $55 and another of $75.

After first check the bank balance can be denoted with the help of following equation:

After second check the bank balance can be denoted with the help of following equation:

Now, in order to compare these two bank balances:

Because a larger amount is removed from right side as compared to the left side.

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