Give an example of a quadratic equation with non-real solutions.

x² + 1 = 0

Step-by-step explanation:

You can form any with discriminant negative (B²-4AC < 0)

An example could be:

x² + 1 = 0

x² = -1 which has no real roots/solutions

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is