Find the solution set for the given inequality if the replacement set is {1, 2, 3, 4, 5, 6}.

3x – 5 ≥ 7

a.
{1, 2, 3}

b.
{4, 5, 6}

c.
{1, 2, 3, 4}

d.
{5, 6}

For what value of x does 4x = (1/8) x + 5?

How many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .