Question

I GIVE MEDALS

3 (x - 2) > 4 (2x + 11_

A. t > -10
B. t > 1.8
C. t < -10
D. t < 1.8

Answer 1

so it becomes 3x-6> 8x+22 right? put all x's on one side and others on other side. btw are answers in terms of x, if not what is t?

Answer 2

so the answer is B? @justicehunter

Answer 3

no its not B...

is the question (1) 3(x - 2) > 4(2x +1) or (2) 3(x -2) > 4(2x + 11)

Answer 4

but how do I solve it? @campbell_st @justicehunter

Answer 5

ups my bad it gotta be 3x-6>8x+44 when you put all the x's in one side you should get something ike 5x<.... can you find ...?

Answer 6

well there is an error in the inital expansion shown

Answer 7

im pretty sure the answer is A is that right? @ justicehunter

Answer 8

@justicehunter ^

Answer 9

ok..here is a simple point... the question contains x and the answers contain t...

the process is the same as solving equations...

3x - 6 > 8x + 44 add 6 to both sides of the inequality... what do you get...?

Answer 10

Its not A

Answer 11

to see if you are correct put something bigger than -10 like 0. does that make the inequality correct?

Answer 12

-3x > 8x + 50 @campbell_st

Answer 13

its not -3x its just 3x

so

3x > 8x + 50 now subtract 8x from both sides of the inequality...what do
you get

Answer 14

campbell is a better teacher than me, gotta admit :D

Answer 15

-5x > 50 @campbell_st

Answer 16

you're good too! @justicehunter

Answer 17

great, do you know the inequality rule for dividing by a negative..?

Answer 18

no @campbell_st

Answer 19

if you divide by the negative coefficient of x you need to reverse the inequality

so you need to divide both sides of the inequality by -5 and reverse the inequality

what do you get..?

Answer 20

t > -10 @campbell_st

Answer 21

reverse the direction of the inequality

Answer 22

t < -10 @campbell_st

Answer 23

thanks so much for your help! @campbell_st

Answer 24

great pick a number less that -10.. say x = -12 now substitute to check

2(-12 -2) > 4(2(-12) + 11)

-24 > 4(-13)

so is -24 > -52 ?

Answer 25

yes! @campbell_st

Answer 26

so now you know your answer is correct... without guessing

Answer 27

ok thanks so much! :) you saved me @campbell_st

Answer 28

glad to help