A number t multiplied by −4 is at least − 2 — 5

Question

How do you do this? I have been struggling with this for quite sometime now and i need a free tutor to help work on this. I just need some help. Thank you

Sincerly Jacob

Answer 1

-4t ≥ -2 - 5

-4t ≥ -7

t ≤ 7/4

Answer 2

A number t multiplied by −4 is at least − 2 — 5

How do you do this? I have been struggling with this for quite sometime now and i need a free tutor to help work on this. I just need some help. Thank you

Jacob first translate the word problem to math.

so we have....

t * (-4) >= -2 so solve for t

divide both sides by -4 ....due to the LAWS OF INEQUALITY....you change the sign...look this up...

t <= -2/-4< = 1/2......so t <= 1/2....right....check.... if t<= 1/2....we have....1/2 * (-4) => -2...that checks...

what if t = 1/4 (t is less than 1/2).....then....we have.... 1/4 * (-4) = > -1 -1 is greater than -2......

what about if t=1 (t is greater than 1/2)....then

1 * (-4) > = -2....then -4 is not >= -2....so that checks....at t=1.....

if t=1/8 (t is less than 1/2)....1/8 * (-4) > = -1/2 this also checks...because -1/2 is greater than or equal to -2...right?

when we divide or multiply both sides of an inequality by negative signs you change the direction of the INEQUALTIY sign...Right?? You want check this and verify....