Answer:
{-1.75}
Step-by-step explanation:
The given equation is
[tex]x-2=5(x+1)[/tex]
Let as assume f(x) be left hand side and g(x) be the right hand side.
[tex]f(x)=x-2[/tex]
[tex]g(x)=5(x+1)[/tex]
The solution set of given equation is the intersection point of f(x) and g(x).
Table of values are:
For f(x) For g(x)
x f(x) x g(x)
0 -2 0 5
2 0 -1 0
Plot these corresponding ordered pairs on a coordinate plan and connect them by straight lines
From the below graph it is clear that the intersection point of f(x) and g(x) is (-1.75,-3.75).
Therefore, the solution set of given equation is {-1.75}.
