SOLUTION: {{{0<=(2x+3)/4<4}}} Can someone explain this please

Question 296693:
Can someone explain this please
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given compound in inequality.

Multiply all sides by 4.

Multiply.

Subtract 3 from all sides.

Combine like terms.

Divide all sides by 2 to isolate 'x'.

So the solution is which in interval notation looks like [)
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
0<=(2x+3)/4<4
means that (2x+3)/4 is two things
greater than or equal to zero
and less than 4
multiply all three parts by 4
0<=2x+3<16
subtract 3
-3<=2x<13
-3/2<=x<13/2

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