I need to know how to do this problem I have 5 others and I do not understand what I am suppose to do? Thank you
2006-07-09 16:40:10 · 16 answers · asked by cysreese 1 in Science & Mathematics ➔ Mathematics
2(x+3) > 20
2x + 6 > 20 by distributive property
2x > 14 by transposing 6 to the other side
x > 7 by dividing both sides by 2
2006-07-09 16:43:27 · answer #1 · answered by wolfwood 2 · 1⤊ 0⤋
First, remove the parentheses by multiplying 2 times everything inside:
2(x + 3) > 20
2(x) + 2(3) > 20
2x + 6 > 20
Then subtract 6 from both sides:
2x + 6 - 6 > 20 - 6
2x > 14
Now divide both sides by the codeficient
2x/2 > 14/2
x > 7
So the solution is x is greater than 7
2006-07-09 16:46:10 · answer #2 · answered by Abriel 5 · 0⤊ 0⤋
x : 2(x+3)>20
This problem has been made to look a bit difficult by using the ratio sign (:), though it is actually more familiar inequality problem, as it is equal to
x / 2(x+3) > 20 (read x/2(x+3) as x devided by 2(x+3))
now it's a more known inequality problem is not it? you have to find the range of x which satisfies this inequiality condition.
You can approach it by general algebra rules.
hope you can solve it now, but writing the full solution below in case you need.
x : 2(x+3)>20
or, x / 2(x+3) > 20
or, x > 40(x+3)
or, -39x > 120
or, -x > 120/39
Hence, x < -120/39 (Ans.)
(Please note in the last step that the inequality sign cahnges to opposite one for a multiplication or the division with a negative number)
2006-07-09 16:59:34 · answer #3 · answered by Anonymous · 0⤊ 0⤋
properly you distribute the 8, so which you get 56x + 24 > 20 Then subtract the 24 from the two components: 56x > -4 Aaaand divide each little thing my fifty six: x > -4/fifty six which simplifies to x > -a million/14 Yeah...
2016-12-08 17:46:39 · answer #4 · answered by ? 3 · 0⤊ 0⤋
You solve it like a normal algebra question, treating > as =
2(x+3) > 20
x+3 > 10
x > 7
2006-07-09 16:44:10 · answer #5 · answered by rolladex 1 · 0⤊ 0⤋
2x + 6 > 20
- 6 > - 6
2x > 14
/2 > /2
= x > 7
2006-07-09 16:44:53 · answer #6 · answered by projectsoulcatcher 1 · 0⤊ 0⤋
I agree with rolladex "treating >< as = and after you found x you see x =7 or x>7 must be 7,1.........8. 2(8+3)>20 16+6>20.
2006-07-09 17:16:42 · answer #7 · answered by Freesia 5 · 0⤊ 0⤋
2(x + 3) > 20
Distribute: 2x + 6 > 20
Isolate the variable by subtracting: 2x > 14
Divide both sides: x > 7
2006-07-09 16:45:59 · answer #8 · answered by creative 3 · 0⤊ 0⤋
2(x + 3) > 20
divide both sides by two
(x + 3) > 10
subtract 3 from both sides
x > 7
2006-07-09 16:53:23 · answer #9 · answered by Mike R 5 · 0⤊ 0⤋
(2x+3) > 20
2x + 6 > 20
2x > 14
7 > x You convert the sign because you are dividing it.
2006-07-09 16:52:09 · answer #10 · answered by aeyob 1 · 0⤊ 0⤋