SOLUTION: Let ​f(x)=10−3x and ​g(x)=2x−5. Find all values of x for which ​f(x)≤​g(x). Graph ​f(x)=10−3x and ​g(x)=2x−5. Use

Algebra ->  Inequalities -> SOLUTION: Let ​f(x)=10−3x and ​g(x)=2x−5. Find all values of x for which ​f(x)≤​g(x). Graph ​f(x)=10−3x and ​g(x)=2x−5. Use      Log On


   



Question 1110672: Let ​f(x)=10−3x and ​g(x)=2x−5. Find all values of x for which ​f(x)≤​g(x).
Graph ​f(x)=10−3x and ​g(x)=2x−5. Use the graphing tool to graph the functions. I have to graph this and I keep getting it wrong.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
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f%28x%29%3C=g%28x%29
Substitute for each function.
10-3x%3C=2x-5
-3x-2x%3C=-5-10
-5x%3C=-15
highlight%28x%3E=3%29

Functions f and g both are for lines. Graph them and you can see for x%3E=3 is where g becomes greater than f.

These are JUST the two lines not showing anything else:
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C10-3x%2C2x-5%29