Question

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

Answer 1

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

    Solve the inequality for u:-

     22≤-4u-2.

    $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

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:-

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

Good luck with your studies.

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Answer 2

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