Hi student, let me help you out!
..............................................................................................................................................
First of all, we need to solve this inequality for u. We can easily do it if we follow these steps:
Step 1. Subtract 3u from both sides: [tex]\mathrm{-3u-3u-14 < 16}[/tex].
Upon simplifying, we get [tex]\mathrm{-6u-14 < 16}[/tex].
Step 2. Add 14 to both sides: [tex]\mathrm{-6u < 16+14}[/tex]
Upon simplifying, we get [tex]\mathrm{-6u < 30}[/tex]
Step 3. Solve for u, which can be done by dividing both sides by -6:
[tex]\mathrm{-6u\div(-6)=30\div{-6)}}[/tex].
Upon simplifying, we get [tex]\mathrm{u > -5}[/tex].
Have you noticed that the sign of the inequality changed from "less than" to "greater than"? This happens every time we multiply, or divide, both sides of an inequality by a negative number. The sign changes from less than to greater than, or the other way around.
Thus, the solution is [tex]\bigstar\underline{\boxed{\mathrm{u > -5}}}[/tex]
Hope it helped you out, ask in comments if any queries arise.
