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stira [4]
3 years ago
6

–4k + 5 ≤ 21 i need help please

Mathematics
2 answers:
Allushta [10]3 years ago
6 0
Answer :
inequality form: k ≥ -4
OR
interval form: [-4, ∞)

Alexandra [31]3 years ago
6 0

Answer:

We conclude that:

-4k+5\le \:21\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}

The number line graph of the solution is also attached below.

Step-by-step explanation:

Given the equation

-4k+5\le \:21

Subtract 5 from both sides

-4k+5-5\le \:21-5

Simplify

-4k\le \:16

Multiply both sides by -1 (reverse the inequality)

\left(-4k\right)\left(-1\right)\ge \:16\left(-1\right)

Simplify

4k\ge \:-16

Divide both sides by 4

\frac{4k}{4}\ge \frac{-16}{4}

Simplify

k\ge \:-4

Therefore, we conclude that:

-4k+5\le \:21\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:k\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}

The number line graph of the solution is also attached below.

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