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bazaltina [42]
2 years ago
12

Solve the inequality for u. 22≤-4u-2 Simplify your answer as much as possible.

Mathematics
2 answers:
valkas [14]2 years ago
8 0

          \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

    <em>Solve the inequality for u:-</em>

<em>      22≤-4u-2.</em>

<em>     </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

First, let's add 2 on both sides:-

\longmapsto\sf{24\geq -4u}

Switching the order (and flipping the inequality sign):-

\longmapsto\sf{-4u\geq 24}

Divide by -4 on both sides:-

\longmapsto\sf{u\leq 6}

\bigstar 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:-

\longmapsto\underline{\boxed{\sf{u\leq -6}}}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

larisa [96]2 years ago
7 0

Answer:

<u>u ≤ -6</u>

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>u ≤ -6</u>
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