Solve the inequality. Graph the solution.2(5 – 3x) < x-4(3 - x)
1 answer:
Answer:
<em>x</em>>2
Step-by-step explanation:
The first thing you need to do is distribute.
2 time 5 and 2 time -3x; -4 times 3 and -4 times -x.
After that you would get 10-6x < x-12+4x.
Now combine like terms. The only like terms are on the right side: x and 4x.
Now it's 10-6x < 5x-12.
Now put <em>x</em><em> </em>on one side. I prefer to work with a positive <em>x</em> so I would move it to the right.
Now it's 10 < 11x-12.
Isolate the <em>x</em><em>.</em><em> </em>Move the -12 first
Now it's 22<11x.
Divide by 11 next.
Now it's 11<x.
Switch it around so it's easier to interpret for the graph.
Final written inequality is x>11.
Graph the line x= 11 but with a dotted line because it is not equal to 11.
Color in everything to the right of the line because everything greater than x is to the right.
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