Question

Which shows the correct solution to the inequality 7/10 > 15/8 + p?

a) 7/10 > 15/8 + p
b) p > 7/10 - 15/8
c) p > 15/8 - 7/10
d) p > 1/40

Answer 1

To solve the inequality 7/10 > 15/8 + p, isolate the variable p by subtracting 15/8 from both sides and combining the fractions. The correct solution is p > -9.5/40.

Step-by-step explanation:

To solve the inequality 7/10 > 15/8 + p, we need to isolate the variable p. Here are the steps:

1. Subtract 15/8 from both sides of the inequality. This gives us 7/10 - 15/8 > p.
2. To combine the fractions, find a common denominator of 40. This gives us 28/40 - 37.5/40 > p.
3. Simplify the equation further. We have -9.5/40 > p.
4. Finally, we can rewrite the inequality as p > -9.5/40.

Therefore, the correct solution to the inequality is option d) p > -9.5/40.