Select the inequality that corresponds to the given graph.
5x + 7 >= 2 and 10x <= 30 6x + 7 >= 25 or 2x - 8 < -4 4x + 10 <= 6 or 5x - 6 >= 14 37 <= 8x - 3 >= 61
Is it meant to be the blue or yellow portion?
the blue
Well, you can test them individually. 5x + 7 >= 2 we replace x with -2 and find -3 >= 2 which is obviously false 6x + 7 >= 25 same thing, replacing x with -2 we get -5 >= 25, false as well 4x + 10 <= 6 x = -2 this gives us 2 <= 6 which is true! now with x = 6, this gives us 34 <= 6 which is false and so on.
Try and derive an inequality from the picture and see if it matches any listed
so C?
No, as it only applies to the negative portion of the graph
srry i just dont get it
Ok look at first set A: solve each seperately as you normally do
ok
the idea is to draw both set of solutions on one graph... 5x + 7 >= 2 thus x>=-1 10x <= 30 x<= 3 this is not true for your graph!!! so not A
5x + 7 >= 2 and 10x <= 30 -7 -7 5x >= -5 5 5 x >= -1
forgot the rest :PPP
ok
the word and in between means it must be true for both, like overlap!! Go towards each other...
It cant be B right because its just the < sign
Now look at B: 6x + 7 >= 25 or 2x - 8 < -4 6x >= 25-7 2x < -4+8 6x>=18 2x<4 x>= 6 x<2 which is also not true for your graph! As
when drawing both solutions on the same graph it doesn't look the same as your graph!
Thus not B either
4x + 10 <= 6 or 5x - 6 >= 14 -10 -10 +6 +6 4x <= -4 5x >= 20 4 4 5 5 x <= -1 x >= 4
so its C right????
YES C as the word or means there is a gap between the two lines (the yellow section...) the word and means the two blue lines should meet up or join... Long story short. C
thank you so much for the help
Pleasure!
Join our real-time social learning platform and learn together with your friends!