Question

Help please i dont understand

Answer 1

See explanation

Explanation:

1. Plot the dotted line 6x + 4y = 12 (dotted because the inequality is without notion "or equal to"). This line divides the plane into two parts. Check to which part will the origin belong:

`6\cdot 0+4\cdot 0=0<12,`

this means the origin doesn't belong to the solution set of this inequality so, you need to shade that part which does not contain origin.

2. Plot the dotted line 3x - 4y = 8 (dotted because the inequality is without notion "or equal to"). This line divides the plane into two parts. Check to which part will the origin belong:

`3\cdot 0-4\cdot 0=0<8,`

this means the origin doesn't belong to the solution set of this inequality so, you need to shade that part which does not contain origin.

3. The intersection region of those shaded parts is the solution set to both inequalities (see attached diagram).