Which graph represents the solution set of the system of inequalities? hurry! {y< 23xy≥−x+2

The correct answer C.

EXPLANATION

is the inequality with the broken line.

Testing the point gives

 or

This statement is true so we shade the lower half-plane.

is the solid line.

We test the origin .

This gives us,

This statement is false so we shade the upper half-plane.

The intersection of the two regions is the region graphed in C.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.