Question

inequality help?? will give medal?

Answer 1

solve each inequality. then check your solution.

6. -5x-(2x+3)>=1

Answer 2

@ShadowLegendX ?

Answer 3

Is that 6. a part of the inequality or the number of your question?

Answer 4

its just the number of the question

Answer 5

\[-5x - \left( 2x + 3 \right) \ge 1\]

Answer 6

Correct inequality?

Answer 7

yes

Answer 8

There is nothing you can do in the (----------)
\[-5x - 2x + 3 \ge 1\]

Answer 9

Add like terms together
\[-7x + 3 \ge 1\]

Answer 10

Subtract 3 from both sides \[-7x \ge -2\]

Answer 11

Ok- hold on I messed up somewhere I think :/ Let me double check my work.

Answer 12

where did -2 come from?
I'm not good at inequalitys

Answer 13

1 - 3 = -2

Answer 14

can you walk me through it please?

Answer 15

I'm cooking rn, but I can multi task xD Let me throw some chives in and Ill be with you

Answer 16

oh ok I'm sorry thank you xD

Answer 17

Question, is the symbol "greater than" or "greater than or equal to" ???

Answer 18

I wrote the correct inequality earlier if you want to take a look.

Answer 19

I see "-5x-(2x+3)>=1" and your use of "greater than or equal to"

Answer 20

yes its suppose to be this > over the equal sign =

Answer 21

\[-5x-(2x+3)\ge 1\]

Answer 22

\[-5x-(2x+3)\ge =1\]

First, lets distribute the -1 to 2x and 3, the numbers inside of the parentheses.

\[-5x-2x -3\ge =1 \]

Like terms

\[-7x - 3 \ge =1\]

Add 3 to both sides

\[-7x \ge = 4\]

Divide the entire inequality by -7 to isolate x. Not that the 7 is negative.
\[x \le \frac{ 4 }{ -7 }\]

When you divide or multiply an inequality by a negative number, the sign changes

Answer 23

Note*

Answer 24

Oh yeah, That is where I messed up... Thanks @ShadowLegendX

Answer 25

Yeah, distributing the -1

Answer 26

Do we have a solution to check the inequality with?

Answer 27

ohh ok. thank you so much! I appreciate this so much! I have some more .....like 9 more.... xc I'm trying to help my brother but I'm no good at this

Answer 28

\[\frac{ 4 }{ -7 }\] is the solution?

Answer 29

Is there a set of points, given in parentheses? Like (x,y) ??

Answer 30

no

Answer 31

A graph perhaps?

Answer 32

no it just says solve the inequlity. then check your solutions.

Answer 33

Hmm, can you upload the image perhaps?

Answer 34

its on paper

Answer 35

Here is the confusing part for me. Usually, when they ask you to check "your solution" it's a set of points

Answer 36

We input them into the inequality, to see check the solution, to see if it's corret

Answer 37

correct*

Answer 38

do I convert the fraction to a decimal ?

Answer 39

No, usually teachers like them in fractions, unless specified to be in decimal form.

Answer 40

its not specified. I just thought it would be easier to check if it was in decimal form

Answer 41

It's actually easier to check in fraction form, though I doubt you'd want me to explain why xD

Answer 42

Is problem 6, connection to any of the previous problems? Perhaps you got a solution from them

Answer 43

no its not. its just a list of inequalities and it says to solve and check the solutions

Answer 44

Oh, mb, you were right when you first asked. Solution is 4/-7. You just have to input it

Answer 45

Do you know how to do that?

Answer 46

no I'm not sure I'm sorry

Answer 47

Input 4/-7 into the original inequality

Answer 48

\[ -5(\frac{ 4 }{ -7 }) -(2(\frac{ 4 }{ -7 })+3) \ge=1\]

Answer 49

Like that

Answer 50

ohh ok thank you

Answer 51

Then solve

Answer 52

\[\frac{ -20 }{ -7 } - ( \frac{ 8 }{ -7 } + 3 \ge 1\]

Answer 53

\[\frac{ -20 }{ -7 } - ( \frac{ 8 }{ -7 } + 3) \ge 1\]

Answer 54

wait how did you get 8 over -7

Answer 55

Distribute the -1

\[\frac{ 20 }{ 7 } + \frac{ 8 }{ 7 } -3 \ge 1\]

Answer 56

\[2(\frac{ 4 }{ -7 }) = \frac{ 2 }{ 1 } \times \frac{ 4 }{ -7 }\]

Answer 57

I'm so sorry I do not understand now

Answer 58

Let me know what you don't understand specifically

Answer 59

how you got -20 over -7 and 8 over -7

Answer 60

\[-5(\frac{ 4 }{ -7 }) = \frac{ -20 }{ -7 } = \frac{ 20 }{ 7 }\]

Answer 61

\[2(\frac{ 4 }{ -7 }) = \frac{ 8 }{ -7 }\]

Answer 62

Remember, we are inputting our solution, which is 4/-7, to see of our inequality is true

Answer 63

\[\frac{ 20 }{ 7 } + \frac{ 8 }{ 7 } -3 \ge 1\]

Like terms

\[\frac{ 28 }{ 7 } - 3 \ge 1\]

Simplify 28/7 and add 3 to both sides

\[4 \ge 4\]

Answer 64

7 goes into 28. 4 times

Answer 65

4 is greater than or equal to 4, which is correct.

Therefore 4/-7 is a solution to our inequality

Answer 66

ohh ok omg thank you so much your the best

Answer 67

No problem