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please help me
what is the first (-2,-14) ?
like plugin in -2 for x
It is not labeled as a choice? or is it supposed to be choice A ?
No I mean sorry
can you edit the question? otherwise it will be confusing
Which ordered pairs are solutions to the inequality y – 4x ≤ –6? Choose all answers that are correct. A.(–2, –14) B.(–1, –9) C.(0, –5) D.(3, 5) E.(1,3) There all answer choices, pick all that are correct
y-4x are "instructions" that says multiply the first number ( the x number in a pair) by -4 then add it to the 2nd number (the y number in a pair) can you do that for the pair (-2,-14) ?
ok, you don't have use answer choices. May i have an example
for (-2,-14) multiply the first number by -4: -2*-4 then add the 2nd number: -14 can you do that ?
first do -2*-4
now add -14
yes. now we have \[ y - 4x \le -6 \\ -6 \le -6\] the little _ under the \( \lt\) means equal. is -6 = -6 ? yes. so choice A works.
ok, now do the same thing for all of them
now try (–1, –9) in -4x+y (this means the same as y + -4x or y-4x) and you do -4* -1 add -9
the 2nd number in (-1,-9) is not +9. it is -9
4+ -9 = what ?
when you add numbers with different signs, subtract them (ignoring the sign) and make the answer the same sign as the "bigger" number. yes we get -5
now \[ -5 \le -6\] it is clearly not equal. notice the "big" end of the \( \le\) is next to -6. that means we want -6 to be bigger than the other side is -6 bigger than -5 ?
ok, -5 is bigger than -6 and we want numbers smaller than -6 so cross off choice B. so far , only A works.
C. (0, –5) -4 x + y do -4 * 0 then add -5
and we just did \( -5 \le -6\). Not true. cross off choice C
can you try D. (3, 5) and show your steps.
D. (3,5) -4x + y -4 * 3=-12 add 5 =-7
ok, and is \(-7 \le -6\) true or false?
ok, so choice A and choice D one more to go E. (3, 5)
I thought we just did 3,5
wait, E is (1,3)
E. (1,3) -4x+y -4*1=-4 add 3, -4+3=-1 -1 Is bigger than -6 so the equation is false
yes. now double check your question, that choice D is (3,5) and E is (1,3) up top you have it the other way round.
It is, Thanks so much, You've been a great help. Could you check another one of my answer. I'll post again