Question

I need help but I dont know how to put the eqation in this box if someone can help me. the question ask; which of the following points satisfies the system of ineqalities

Answer 1

You can use the equation or drawing tools. Or I would be glad to show you if you write it out in words. It's hard being a first-timer, but I'll be glad to walk you through it.

Answer 2

\[x+y \ge5 -4x+y \le9\]\[x+4\]

Answer 3

now the second part of the problem is the neg 4 x

Answer 4

Please bear with me, but I'm having trouble understanding what you wrote.

Answer 5

the x+4 dont know where it came from

Answer 6

Are there two separate inequalities? The first being x + y >= 5 and the second -4x + y <= 9 ?

Answer 7

the first is x+y greater than 5
the second 4x+y less than 9

Answer 8

second on is -4x+y lessthan 9

Answer 9

So, x + y > 5 and the second -4x + y < 9 ? I took out the equality.

Answer 10

yes

Answer 11

Ok, got it. I'd rewrite the 1st inequality as y > 5 - x and the 2nd as y < 9 + 4x. Now we can use x as an independent variable and we can solve this graphically or what I think is better, algebraically.

Answer 12

my options for the answer are (10,-1) (-1,110) (1,22) (1,20)

Answer 13

Since you are working with a finite number of points, you can just plug each point into both inequalitites and see if both hold at the same time. You would have to do that separately for each point. That's not a bad way to go and it saves you from making a simultaneous algebraic solution to both inequalitites at the same time.

Answer 14

im lost sorry

Answer 15

np. Taking the first point, (10, -1), we plug it into the first inequality and inspect whether true or not. The first inequality is y > 5 - x. Substituting, we ask if -1 > 5 - 10 and that half is true. So, we keep going on to the second inequality because we are not "false" yet. The second inequality is y < 9 + 4x or we ask if -1 < 9 + (4)(10). And that also is true, so the first point satisfies both inequalities. You just do the same for the other 3 points.

Answer 16

but if both side are true that would be the answer correct

Answer 17

im lost how is -1>5-10

Answer 18

ok understand now I was lost for a minutes was not thinking

Answer 19

Not sure what you mean by "side" in this context. Just got your second post and I'll take it from there. I left it as -1 > 5 - 10, which is a question we are asking so it conceptualyy is like -1 >? 5 - 10 with a question mark. Which is -1 >? -5 which is true because it is now easier to see that we are comparing 2 numbers. Just got your last post and it appears you are already understanding this now.

Answer 20

thank you for all the help

Answer 21

It was a pleasure working with you. If you like my help, hit "best response"