–4k + 5 ≤ 21 i need help please

Question

asked Dec 28, 2022 194k views

2 Answers

Saurav Saha · Answer 1 · 2023-01-03T20:36:42+0000

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.

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

$(4k)/(4)\ge (-16)/(4)$

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.