Question

What is the solution to this in quality 7/2 > b + 9/5

Answer 1

To solve the inequality 7/2 > b + 9/5, subtract 9/5 from both sides, find a common denominator, simplify, and combine like terms.

The solution is b < 17/10.

Step-by-step explanation:

To solve the inequality 7/2 > b + 9/5,

We need to isolate the variable b.

Step 1: Subtract 9/5 from both sides:

7/2 - 9/5 > b

Step 2: Find a common denominator for 2 and 5, which is 10:

(7*5)/(2*5) - (9*2)/(5*2) > b

Step 3: Simplify:

35/10 - 18/10 > b

Step 4: Combine like terms:

17/10 > b

So the solution to the inequality is b < 17/10.