How do you solve and graph #-1/3<=(4x-1 )/ 3 <1/2#?

Question

1395 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-17T15:19:18

#0<=x<5/8#.The graph is the line segment on the axis of reals, for# x in [0, 5/8)#.

Multiply throughout by +6.

Then,# -2<2(4x-1)<3#.

Separating the inequalities,

#-2<=8x-2 and 8x-2<3#. Rearranging,

#x>=0 and x<5/8#.

Now combine the inequalities.

#0<=x<5/8#.

The graph is the line segment on the axis of reals, for# x in [0, 5/8)#.