SOLUTION: Solve the graph 1-2x > 7 and 4x-3

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Question 146194: Solve the graph 1-2x > 7 and 4x-3 > 21
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

Start with the first inequality.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.

Reduce.

So the first part of our answer is

Move onto the second inequality.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the second part of our answer is

------------------------ Summary ------------------------

So together our answers are

and

However, there is no such number that is less than or equal to -3 AND greater than or equal to 6. So there is no resulting solution set. So it is not possible to graph the solution set.

SOLUTION: Solve the graph 1-2x > 7 and 4x-3 > 21