Video Transcript
Solve the following inequality: 𝑛 over five plus one is less than six.
To solve the inequality, we’ll need to isolate 𝑛; we’ll need 𝑛 to be by itself. Our first step in isolating 𝑛 will be to subtract one from both sides of the equation. On the left side, plus one minus one equals zero, and we bring the 𝑛 over five down. We bring down our inequality. We say six minus one or six plus negative one equals five.
For the next line, I just got rid of the zero because 𝑛 over five plus zero equals 𝑛 over five. In this line, 𝑛 is being divided by five. In order to get 𝑛 by itself, we’ll need to multiply 𝑛 by five. And if we multiply by five on one side of the equation, we’ll need to multiply fi- by five on the other side of the equation. Five 𝑛 divided by five equals 𝑛.
Bring down your inequality symbol and finally multiply five times five, which equals 25. This inequality is true anytime 𝑛 is less than 25, so we say the solution to this inequality is 𝑛 less than 25.
