3(9x+4)>35x-4

Question

Solve each inequality algebraically. Give answer both symbolically and as a number line graph.

Answer 1

3(9x + 4) > 35x - 4
27x + 12 > 35x - 4 {used distributive property}
12 > 8x - 4 {subtracted 27x from both sides}
16 > 8x {added 4 to both sides}
2 > x {divided both sides by 8}
x < 2 {flipped around so that x is first}

To graph:
- put an open circle (not filled in) on 2, with a line and arrow pointing to the left
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