Question

I need some help please

Answer 1

x < 4 or x > 6

Explanation:

In order to solve for inequalities, we can solve them separately. Given the inequalities:

`\displaystyle{4x-6 < 10 \ \: \text{or} \ \: 2x-4 > 8}`

Solve like how you solve for the equation; isolate x-term:

`\displaystyle{4x-6+6 < 10+6 \ \: \text{or} \ \: 2x-4+4 > 8+4}\\\\\displaystyle{4x < 16 \ \: \text{or} \ \: 2x > 12}\\\\\displaystyle{(4x)/(4) < (16)/(4) \ \: \text{or} \ \: (2x)/(2) > (12)/(2)}\\\\\displaystyle{x < 4 \ \: \text{or} \ \: x > 6}`