Question

Solving inequalities??? help please!!

1/4m is less than or equal to -17

Answer 1

Solving for m right?
Just solve it like a regular equation, pretend the inequality sign is just an "equal" sign

Answer 2

but i have to multiply or divide from each side and i don't know if i multiply by -17 or divide by 1/4

Answer 3

Hint*

\[\large \frac{1}{4}m \le -17\]

Since we want to solve for 'm' we need to get rid of that 1/4 being multiplied to it somehow

Answer 4

so multiply that on each side?

Answer 5

Multiply what?

Answer 6

1/4

Answer 7

Well lets see what happens when we do that...if we multiply both sides by 1/4 we have

\[\large \frac{1}{4} \times \frac{1}{4}m \le -17 \times \frac{1}{4}\]
\[\large \frac{1}{16}m \le \frac{-17}{4}\]

That didnt help anything...where did we go wring?

Answer 8

You want to cancel out the factor....how do you do that? *hint do not multiply 1/4

Answer 9

I don't know I suck at math. would i multiply the -17? or divide?

Answer 10

How do you get 1/4 to = 1?

Answer 11

what do you need to multiply to 1/4?

Answer 12

multiply -17 to 1/4

Answer 13

\[\frac{ 1 }{ 4 }\times \frac{ ? }{ 1 }=1\]

Answer 14

Here's a big hint

\[\large \frac{1}{b}x \times b = x\]

Answer 15

Nope, multiplying -17 to 1/4 just gives you -17/4 and that does not equal to 1

Answer 16

okay, we didn't do it like that in class though. i might not have explained it right, i don't know lol. i'll just go in and ask for help in the morning. but thank you guys for trying to help me

Answer 17

\[\frac{ 1 }{ 4 }\times \frac{ 4 }{ 1 }=1\]

Answer 18

Do you see how that would work?

Answer 19

Well here,

[\large \frac{1}{4}x \le -17\]

If we multiply both sides by 4...we have

\[\large \cancel{4} \times \cancel{\frac{1}{4}}x \le -17 \times 4\]

Which gives

\[\large x \le -17 \times 4\]

Answer 20

You're solving for m so that means you need to get m alone

Answer 21

for the answer it's suppose to be something like x < 15 for example or something like that. like a variable and a less than or equal to sign and a number

Answer 22

Sorry for the first line not coming out correctly up there

Answer 23

To get m alone, that means you need to move that fraction to the other side

Answer 24

When multiplying fractions, you always multiply the inverse of that fraction (meaning the number on top and the number on the bottom switch)

Answer 25

okay thank you!

Answer 26

\[\frac{ 1 }{ 4 }m \le-17\]
\[\left( \frac{ 4 }{ 1 } \right)\frac{ 1 }{ 4 }m \le-17\left( \frac{ 4 }{ 1 } \right)\] (multiply 4/1 to each side)

then \[m \le-68\]