3/5x-2/3x > or equal to 4?

(3/5)x - (2/3)x > or equal to 4
(-1/15)x > or equal to 4
divide both sides by -1/15. when you multiply/divide by a negative number you must flip the sign.
x < or equal to -60

while determining the fee of x, you should remember that what you do on one fringe of the equation you additionally must do to the different. eg, a million) we ought to get x by using itself. permit's do it step by using step. we are going to do away with the denominator first. As x is being divided by using 5, to eliminate the 5 we ought to accomplish the different (ie, multiply by using 5). What this does is provide you the left hand fringe of the equation to be (2x/5).5 2x.5/5 2x.(5/5) Now 5/5 = a million 2x.a million = 2x for this reason the 5 is now bumped off, yet what's finished on the left hand fringe of the equals additionally must be accomplished on the main astonishing. for this reason (2x/5).5 = 9.5 2x.5/5 = 40 5 and so directly to 2x = 40 5 Now we ought to eliminate the two. So divide the equation by using 2. 2x/2 = 40 5/2 x.2/2 = 40 5/2 x.a million = 40 5/2 x = 40 5/2 2)attempt multiplying the equation first by using 2, then dividing by using 3. 3)Now in this equation there is an x on the two sides of the equation. the 1st ingredient you should do is to group the x's on one factor. First, permit's make this equation slightly much less stressful to play with by using removing the denominators. on the left factor, the denominator is 8, on the main astonishing, 4. what's the backside variety that divides into the two 8 and four. answer: 8.(8 divided by using 8 provides a million, 8 divided by using 4 provides 2). so which you should do away with the denominator, multiply the equation by using 8. (5x/8).8 = ((x-4)/4).8 5x.8/8 = (x-4).8/4 5x.a million = (x-4).2 5x = 2(x-4) Now permit's do away with the brackets. 5x = 2x - 8 we ought to group x's to the left hand factor. So finding on the main astonishing hand factor, how are you able to do away with 2x. you should subtract 2x, remembering that what you do to a minimum of one factor, do to the different. for this reason 5x -2x = 2x - 8 - 2x 5x - 2x = 2x - 2x -8 3x = -8 Now purely divide the finished equation by using 3

3/5(x) - 2/3(x) ≥ 4
3x/5 - 2x/3 ≥ 4
15(3x/5 - 2x/3) ≥ 15(4)
3(3x) - 5(2x) ≥ 60
9x - 10x ≥ 60
-x ≥ 60
x ≤ 60/(-1)
x ≤ -60

Will assume that question is :-

(3/5) x - (2/3) x ≥ 4

9x - 10 x ≥ 60

- x ≥ 60

- 60 ≥ x

x ≤ - 60

PS
Lack of brackets in question will lead to question being misread by those answering. For this reason you MUST use brackets.

3/5x-2/3x > or equal to 4
=> -1/15x >= 4 => -15x =< 1/4 => -x =< 1/60 => x > = -1/60

x > or equal to -60

3/5x-2/3x > or equal to 4
(9- 10)/15x >= 4
-1/15x>=4
-1/x>=60
1/x<-60
1/60 <-x
x<= -1/60

Always get rid of fractions first.
To get rid of /5,multiply by 5 and get
15/5x-10/3x>=20
get rid of /3 by multiplying by 3
45/5x-30/3x>=60
9x-10x>=60
-1x>=60
x<=-60

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