solve x/13<4/5

Answer 1

To solve the inequality x/13 < 4/5, we need to multiply both sides of the inequality by 13 to eliminate the fraction. Remember that when you multiply or divide both sides of an inequality by a negative number, you need to reverse the inequality sign.

So, multiplying both sides of the inequality by 13, we get:

(x/13) * 13 < (4/5) * 13
x < (4/5) * 13

Now, we need to simplify the right side of the inequality:

x < (4/5) * 13
x < (4/1) * (13/5)
x < (4 * 13) / (1 * 5)
x < 52/5

Therefore, the solution to the inequality x/13 < 4/5 is x < 52/5.