Respuesta :
Answer:
u ≤ -6
Step-by-step explanation:
Given :
- 22 ≤ -4u - 2
Add 2 on both sides :
- 22 + 2 ≤ -4u - 2 + 2
- -4u ≥ 24
Divide both sides by -4 (remember the sign changes direction when divided by a negative number) :
- -4u/-4 ≥ 24/-4
- u ≤ -6
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Solve the inequality for u:-
22≤-4u-2.
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First, let's add 2 on both sides:-
[tex]\longmapsto\sf{24\geq -4u}[/tex]
Switching the order (and flipping the inequality sign):-
[tex]\longmapsto\sf{-4u\geq 24}[/tex]
Divide by -4 on both sides:-
[tex]\longmapsto\sf{u\leq 6}[/tex]
[tex]\bigstar[/tex] Notice that the inequality sign changed from "less than" to "greater than". This happened because we divided by a negative number on both sides.
- Henceforth, We conclude that:-
[tex]\longmapsto\underline{\boxed{\sf{u\leq -6}}}[/tex]
Good luck with your studies.
#TogetherWeGoFar
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