Question

determine the solution sets for the following statements.
x^2 = 1 and x < 1/2
x = {_}

11y + 6 = 50 or 10y + 5 = 5
y = {_}

Answer 1

x^2 = 1 and x < 1/2
x = ±1, but only -1 < 1/2, so x = {-1}

11y + 6 = 50 or 10y + 5 = 5
11y = 44 ⇒ y = 4; 10y = 0 ⇒ y = 0, so y = {0, 4}