Which of the following ordered pairs are solutions to the linear inequality y≤5x−4?
(Select all that apply)
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Answer:
see below
Step-by-step explanation:
y≤5x−4
Substitute the points in and see if they are true
(0,4)
4≤5*0−4
4≤−4 Not true not a solution
(1,3)
3≤5*1−4
3≤1 Not true not a solution
(4,3)
3≤5*4−4
4≤16 true solution
(3,-1)
-1≤5*3−4
-1 ≤11 true solution
(1,1)
1≤5*1−4
1≤1 true solution
(6,0)
0≤5*6−4
0≤26 true solution
Step-by-step explanation:
All except first 2
Let's verify
#3
[tex]\\ \rm\Rrightarrow 3<=5(4)-4<=20-4<=16\checkmark[/tex]
#4
[tex]\\ \rm\Rrightarrow -1<=15-1<=14\checkmark[/tex]
#5
[tex]\\ \rm\Rrightarrow 1<=5-4=1\checkmark[/tex]
#6
[tex]\\ \rm\Rrightarrow 0<=30-4<=26\checkmark[/tex]