I have to take a math test next week for a potential job, I'm brushing up on skills, can anyone help?
2006-06-16 07:23:26 · 19 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
why do you multiply both sides by 10 in the final 15 > 10x
2006-06-16 07:45:42 · update #1
10 - 6x > 4x -5
10 + 5 > 4x + 6x
15 > 10x
15/10 > x
1.5 > x
x < 1.5
2006-06-17 01:09:06 · answer #1 · answered by Kemmy 6 · 0⤊ 0⤋
first solve for 10 - 6x = 4x - 5
so get the x to one side.
Add 6x to both sides gives
10 - 6x + 6x = 4x + 6x - 5
so get
10 = 10x - 5
Now get numbers to one side
10 + 5 = 10x - 5 + 5
therefore 15 = 10x
Now divide both sides by 10 gives
x = 1.5
This solves for when it equals one another so now test 1 and 3
For 1 get 4 > -1
For 3 get -18 > 7
so it solves for 1 so final answer is x < 1.5
2006-06-18 05:37:30 · answer #2 · answered by maz 1 · 0⤊ 0⤋
10 - 6x > 4x - 5
10 - 6x + 6x > 4x + 6x -5 ( add 6x in both side)
10 + 5 > 10x - 5+ 5 (add 5 in both side)
15 > 10x
15/10 > 10x/10 (mulltiply with 1/10 in both side)
3/2 > x
x < 3/2 (fraction) or x<1.5 (in desimal)
Ans: x < 3/2 or x < 1.5
2006-06-16 14:47:11 · answer #3 · answered by Shamol 2 · 0⤊ 0⤋
10-6x>4x-5
10+5>4x+6x
15>10x
5*3>5*2x
so ... 5 is common in both side of un-equation so we can remove it from both side !
3>2x
2*1.5>2*x
For the same reason as up we can remove 2 , cuz it`s common in both side !
So .... We will have 1.5>x or X > 1.5 so we will have all the Xs are smaller that 1.5 as the answer package for this un-equation !
And you see no need to mutiply 10 in both sides at final level !
2006-06-16 14:53:10 · answer #4 · answered by Third eye 2 · 0⤊ 0⤋
first move all the x-terms to one side of the inequality...
10-6x > 4x-5 (add 6x to both sides)
10 > 4x-5+6x
move the integers all to one side
10 > 4x-5+6x (add 5 to both sides)
10+5 > 4x+6x (simplify)
15 > 10x
solve for x
15 > 10x (divide both sides by 10)
1.5 > x
2006-06-16 14:34:17 · answer #5 · answered by ana m 1 · 0⤊ 0⤋
10 - 6x > 4x - 5
10 + 5 > 4x + 6x
10x < 15
x < 3/2
2006-06-16 20:31:14 · answer #6 · answered by snowdrop_crystal 2 · 0⤊ 0⤋
this is just basic algebra
10-6x>4x-5
indicates that:10>4x-5+6x
therefore:10+5>4x+6x
so:10x<15(brought x to the left hand side)
that means:x<15/10
therefore:x<1.5/ans
2006-06-19 02:53:24 · answer #7 · answered by shams ishtiaque rahman 1 · 0⤊ 0⤋
You can treat thia inequality like an equation so we can say
10 - 6x > 4x - 5
Add 6x to both sides to get
10 > 10x - 5
Add 5 to both sides to get
15 > 10x
Divide both sides by ten
1.5 > x
Hope this helps
2006-06-16 14:41:19 · answer #8 · answered by motown 5 · 0⤊ 0⤋
10-6x>4x-5
15>10x (adding 6x to both sides)
1.5>x (dividing both sides by 10)
x<1.5 (reversing the statement so x on left)
2006-06-17 14:51:38 · answer #9 · answered by Tony C 2 · 0⤊ 0⤋
10-6x>4x-5
+5 +5 (cancel out the 5)
15-6x>4x
+6x +6x
15>10x
Divide both sides by 10(easy way to do it, move the decimal)
1.5>x or x<1.5
2006-06-16 14:28:27 · answer #10 · answered by Anonymous · 0⤊ 0⤋