Question

WILL PICK BEST ANSWER IF ITS CORRECT TO ANSWER THESE FEW PROBLEMS

Answer 1

the answer part 4) is the option

Step-by-step explanation:

Answer 2

Part 1)

In this problem we have two lines

The equation of the fist line is

$y=\frac{2}{3}x+3$

The solution is the shaded area above the dashed line

so

the inequality is

$y>\frac{2}{3}x+3$

The equation of the second line is

$y=-\frac{1}{3}x+2$

The solution is the shaded area below the full line

so

the inequality is

$y\leq -\frac{1}{3}x+2$

therefore

the answer Part 1) is

$y>\frac{2}{3}x+3$ and $y\leq -\frac{1}{3}x+2$

Part 2)

In this problem we have two lines

The equation of the fist line is

$y=2x+2$

The solution is the shaded area above the full line

so

the inequality is

$y\geq 2x+2$

The equation of the second line is

$y=2x-1$

The solution is the shaded area below the full line

so

the inequality is

$y\leq 2x-1$

therefore

the answer Part 2) is

$y\geq 2x+2$ and $y\leq 2x-1$

Part 3)

In this problem we have only one line

The equation of the line is

$y=2x+1$

The solution is the shaded area above the dashed line

so

the inequality is

$y>2x+1$

therefore

the answer Part 3) is

$y>2x+1$

Part 4)

we know that

the solution of the system of linear equations is the intersection both graphs

so

see the graph

the solution point is $(0,2)$

therefore

the answer part 4) is the option

$(0,2)$