Solve the given inequality. graph the solution set on a number line 4m-2< 8 or 6m+2> 10

First, simplify each inequality.

Inequality 1: 4m - 2 < 8
Add 2 to both sides: 4m < 10
Divide both sides by 4 to isolate the variable: m < 5/2

Inequality 2: 6m +2 > 10
Subtract 2 from both sides: 6m > 8
Divide both sides by 6 to isolate the variable: m > 4/3

Now, graph these points on a number line. Note that each sign does not have the little line underneath it, and read as "less than" and "greater than". This means they are non-inclusive and each end point on the number line should be graphed as an open circle.

Best answer that i found on yahoo ok   set :   x= length of 2nd piece in cm  x- 3= length of 1st piece in cm  x-4= length of 3rd piece in cm  then since you know they all came from the 20 cm ribbon you add them together and set them equal to 20x+ x-3 +x-4 = 20  3x - 7= 20  3x= 27  x= 9  the shortest piece is the third piece which is x- 4  x-4  9-4 = 5  the length of the smallest piece is 5 cm.  the other lengths are  9 cm  6 cm

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