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surjithayerBest ResponseYou've already chosen the best response.0
7<x3<7 7+3<x<7+3 4<x<10 add4 in each inequality and get the value of a and b.
 6 months ago

jdjrferg4Best ResponseYou've already chosen the best response.0
If you were to substitute in 4 and10 in to a<x+4<b, wouldn't you subtract 4 from each side to get 8<x<6?
 6 months ago

SnuggieLadBest ResponseYou've already chosen the best response.0
Are we doing piece wise functions here?
 6 months ago

jdjrferg4Best ResponseYou've already chosen the best response.0
I do not understand? Piece wise functions?
 6 months ago

SnuggieLadBest ResponseYou've already chosen the best response.0
You haven't learned that? Then I got my answer.
 6 months ago

jdjrferg4Best ResponseYou've already chosen the best response.0
LOL! Probably not, still in the beginning of College Algebra
 6 months ago

SnuggieLadBest ResponseYou've already chosen the best response.0
This is not college algebra.
 6 months ago

jdjrferg4Best ResponseYou've already chosen the best response.0
That makes senses, but it is called College Algebra at my school, and towards end of semester it gets in to Trig
 6 months ago

SnuggieLadBest ResponseYou've already chosen the best response.0
That is algebra two. And this is piece wise functions. I am going to go offline for a while be back in about ten or fifteen minutes.
 6 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
\(\bf x3<7 \implies \begin{cases} +(x3)<7\\ \quad \\ \bf (x3)<7 \end{cases}\) if you were to solve those 2 cases, or scenarios, what would be the "values" of "x"?
 6 months ago

jdjrferg4Best ResponseYou've already chosen the best response.0
When I work those problems, which I am probably not doing correctly I get:\[+(x−3)<7 = x<10\] \[−(x−3)<7 = x>4\] but the answer is 4, so I believe I am doing this wrong
 6 months ago

jdjrferg4Best ResponseYou've already chosen the best response.0
So would I have multiplied both sides by 1 and then added three to both sides?
 6 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
those answers are correct
 6 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
now to make each of the inequalities look like " x + 4 " just add 4 to each side :)
 6 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
hmm... the 2nd one would be 4l
 6 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
other than that, is ok... so \(\large {x3<7 \implies \begin{cases} +(x3)<7 \implies x < 10\\ \quad \\ (x3)<7 \implies x > 4 \end{cases}\\ \quad \\ x < 10 \implies x +4 < 14\\ \quad \\ x > 4 \implies x+4 > 0}\)
 6 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
so you can see what "a" and "b" are
 6 months ago

jdjrferg4Best ResponseYou've already chosen the best response.0
So I did end up with 4<x<10, so if I supplement those in a<x+4<b = 4<x+4<10. Even though it says find a and b, would I go on to say 8<x<6 ?
 6 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
\(\large {\begin{cases} x < 10 \implies x +4 < 14\\ \quad \\ x > 4 \implies x+4 > 0 \end{cases}\implies \bf 0 < x +4 < 14}\)
 6 months ago

jdjrferg4Best ResponseYou've already chosen the best response.0
So I would add 4 to both sides and not subtract?
 6 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
well, they want \(\large x \color{red}{+}4\) so you'd need to add, yes
 6 months ago

jdjrferg4Best ResponseYou've already chosen the best response.0
4<x+4<10, I thought you would work it like a normal equation and to carry over the 4, you would have to subtract from all sides? 4+4<x+44<104 = 8<x<6, how would it cancel the +4 unless you subtract?
 6 months ago

jdoe0001Best ResponseYou've already chosen the best response.0
yeap when yo have only left and right sides, you add/divide/multiply to BOTH sides when you have left, middle, and right sides, you add/divide/multiply to ALL sides
 6 months ago

surjithayerBest ResponseYou've already chosen the best response.0
4<x<10 4+4<x+4<10+4 0<x+4<14 hence a=0,b=14
 6 months ago

surjithayerBest ResponseYou've already chosen the best response.0
\[or we can say a \le 0,b \ge 14 .\]
 6 months ago
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