Question

–4k + 5 ≤ 21 i need help please

Answer 1

Answer :
inequality form: k ≥ -4
OR
interval form: [-4, ∞)

Answer 2

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.