Question

An inequality is shown below:

−np − 5 ≤ 4(c − 2)

Which of the following solves for n?

n ≥ − the quantity 4 times c minus 3 all over p
n ≥ − the quantity 4 times c minus 13 all over p
n ≤ − the quantity 4 times c minus 3 all over p
n ≤ − the quantity 4 times c minus 13 all over p

Answer 1

@imqwerty

Answer 2

\[\large \rm \color {blue}{-np - 5 \le 4(c - 2)}\]
\[\large \rm -np - 5\le 4c - 8\]
\[\large \rm -np \le 4c -3 \]
\[\large \rm -n \le \frac{ 4c - 3 }{ p }\]
`switch the sign when it's negative like -n and change the sign`
\[\large \rm n \ge \frac{ 4c - 3 }{ p }\]

Answer 3

I am not sure if this is exactly correct...

Answer 4

@imqwerty what do u think?

Answer 5

\[-np-5 \le 4(c-2) \]\[-np-5 \le 4c-8\]\[-np \le 4c-3\]dividing both sides by -p
we will reverse the inequality cause we are dividing by a negative number
sp\[n \ge \frac{ 4c-3 }{ -p }\]\[n \ge \frac{ -(4c-3) }{ p }\]

oh no i didn't read calxy's solution :'( i typed it all
its correct tho :')

Answer 6

why would it be negative "p"?

Answer 7

on the bottom?

Answer 8

i divided both sides by -p
:)

Answer 9

isn't n negative?

Answer 10

no its not given anywhere

Answer 11

okay thanks :)

Answer 12

what answer choice is that?

Answer 13

no prblm B) it wuld be A

Answer 14

Which graph represents the solutions to the inequality |2x − 4| less than or equal to 14?
number line with an open circle on negative 5, shading to the right and an open circle on 9, shading to the left
number line with a closed circle on negative 5, shading to the right and a closed circle on 9, shading to the left
number line with an open circle on negative 5, shading to the left and an open circle on 9, shading to the right
number line with a closed circle on negative 5, shading to the left and a closed circle on 9, shading to the right

Answer 15

i think its D

Answer 16

It is D

Answer 17

\[|2x-4| \le 14\]\[-14 \le 2x-4 \le 14\]add 4 all over\[-10 \le 2x \le 18\]divide by 2\[-5 \le x \le 9\]
so x can be between -5 and 9
so yes its D

Answer 18

ok :D ty

Answer 19

np :D