Question

Solve for x: 3x - 91 > -87 or 21x - 17 > 25.

A. x < -4 or x > 6
B. x < 4 or x > -6
C. x > 4 or x < -6
D. x < -4 or x > -6

Answer 1

To solve for x, we need to solve the two inequalities separately and then find the values of x that satisfy both inequalities. The values of x that satisfy both inequalities are x > 2.

Step-by-step explanation:

To solve for x, we need to solve the two inequalities separately and then find the values of x that satisfy both inequalities. Let's solve them one by one:

For the first inequality, 3x - 91 > -87:

3x > -87 + 91

3x > 4

x > 4/3

For the second inequality, 21x - 17 > 25:

21x > 25 + 17

21x > 42

x > 42/21

Simplifying both inequalities, we have:

x > 4/3 and x > 2

The values of x that satisfy both inequalities are x > 2. Therefore, the solution is x > 2.