Question

What is the solution of 1/x + 1/3 less than 1/5?

a) x > 3
b) x < 3
c) x > 5
d) x < 5

Answer 1

To find the solution of 1/x + 1/3 less than 1/5, we need to solve the inequality: 1/x + 1/3 < 1/5. The solution to the inequality is x > 7.5, which can be written as answer option (c) x > 5.

Step-by-step explanation:

To find the solution of 1/x + 1/3 less than 1/5, we need to solve the inequality:
1/x + 1/3 < 1/5
To do this, we can multiply both sides of the inequality by the least common denominator of x, 3, and 5, which is 15x. This gives us:
15 + 5x < 3x
Simplifying, we get:
15 < -2x
Dividing both sides by -2 (remember to reverse the inequality sign when dividing by a negative number), we get:
x > 7.5
Therefore, the solution to the inequality is x > 7.5, which can be written as answer option (c) x > 5.