I am confused on this problem.
k/5 + 3/20 < 3/10
I am not sure how to solve.
An inequality works just like an equation, except if you multiply/divide by a negative, then that carat reverses.
Multiply both sides by 20.
4k + 3 < 6
Solve for k.
To solve this inequality, you can follow these steps:
Step 1: Get rid of any fractions by multiplying both sides of the inequality by the least common multiple (LCM) of the denominators. In this case, the denominators are 5, 20, and 10. The LCM is 20, so multiply both sides by 20:
20 * (k/5) + 20 * (3/20) < 20 * (3/10)
This simplifies to:
4k + 3 < 6
Step 2: Simplify further by combining like terms:
4k + 3 < 6
Step 3: Subtract 3 from both sides of the inequality:
4k + 3 - 3 < 6 - 3
This simplifies to:
4k < 3
Step 4: Finally, divide both sides by 4 to isolate k:
(4k)/4 < 3/4
Simplifying this further gives:
k < 3/4
Therefore, the solution to the inequality is k < 3/4.