1) Determine if the following statement is true or false. If false, provide a counterexample:
"An equation with an integer coefficient will always have an integer solution.".
2) Write a rel-world problem that could be solved by using the equation 3x - 25 = 125
3) Solve (x + 5)(x + 5) = 49. (Hint: There are two solutions)
1) not true, $3x=25\implies x=\frac{25}{3}$
2)We want to calculate how many coats we have to sell at 3 dollars a piece to get 125 dollars profit, given that there is an overhead cost of 25 dollars. I'm 3)$(x+5)^2=49\implies x+5=7$ or $x+5=7\implies x=12$ or $x=2$