Solve 3/5x+2/5 is less than 3 2/5

Answer 1

To solve the inequality (3/5)x + (2/5) < 3 2/5, we first need to simplify the expression on the right side of the inequality.

3 2/5 can be written as an improper fraction:
3 2/5 = (5*3 + 2)/5 = 17/5

Now we have the inequality: (3/5)x + (2/5) < 17/5

To eliminate the fractions, we can multiply both sides of the inequality by the common denominator of 5:

5 * [(3/5)x + (2/5)] < 5 * (17/5)

This simplifies to:
3x + 2 < 17

Next, we isolate the variable x by subtracting 2 from both sides of the inequality:

3x + 2 - 2 < 17 - 2
3x < 15

Then, divide both sides of the inequality by 3 to solve for x:

(3x)/3 < 15/3
x < 5

Hence, the solution to the inequality (3/5)x + (2/5) < 3 2/5 is x < 5.