Question

A system of inequalities is shown.

Answer 1

The required system hence becomes

3x-y+4>0,

y + 6 > (x + 2)²

When the symbols “>”, “<”, “≥”, “≤”,  are used to connect two real numbers or algebraic expressions, that relationship is known as an inequality.

The Graph is given below of the given problem statement.

Observe that the parabola y=x² has vertex at (0,0) we can shift the vertex to (-2,-6) to get the parabola

y + 6 = (x + 2)²

And the inequality is

y + 6 > (x + 2)²

Hence, this parabola is as required by the problem.

And the line passing through (-3,-5) and (0,4) is

$\frac{\left(y-4\right)}{\left(-5-4\right)}=\frac{\left(x\right)}{-3}$

The required inequality hence becomes

3x-y+4>0

Learn more about inequalities here-

brainly.com/question/20383699

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