Solve 47x−27>57

To solve the inequality 47x - 27 > 57, you want to isolate the variable (x) on one side.

Adding 27 to both sides of the inequality, you get:
47x - 27 + 27 > 57 + 27
47x > 84

Then, divide both sides of the inequality by 47 (the coefficient of x) to solve for x:
47x/47 > 84/47
x > 84/47

Thus, the solution to the inequality is x > 84/47.

Solve 4/7x − 2/7 > 5/7

To solve the inequality (4/7)x - 2/7 > 5/7, you want to isolate the variable (x) on one side.

First, add 2/7 to both sides of the inequality:
(4/7)x - 2/7 + 2/7 > 5/7 + 2/7
(4/7)x > 7/7

Simplifying further:
(4/7)x > 1

Next, multiply both sides of the inequality by the reciprocal of 4/7, which is 7/4 (since dividing by a fraction is the same as multiplying by its reciprocal):
(4/7)x * (7/4) > 1 * (7/4)
x > 7/4

Thus, the solution to the inequality is x > 7/4.