Questions: Graph the system of inequalities. y > x^2 - 7 y <= x - 2

Transcript text: Graph the system of inequalities. \[ \left\{\begin{array}{l} y>x^{2}-7 \\ y \leq x-2 \end{array}\right. \]

Solution

Solution Steps

Step 1: Identify the inequalities

The given system of inequalities is:

$y > x^2 - 7$
$y \leq x - 2$

Step 2: Solve the first inequality

The first inequality is $y > x^2 - 7$ . This represents the region above the parabola $y = x^2 - 7$ .

Step 3: Solve the second inequality

The second inequality is $y \leq x - 2$ . This represents the region below or on the line $y = x - 2$ .

Final Answer

The solution to the system of inequalities is the region above the parabola $y = x^2 - 7$ and below or on the line $y = x - 2$ .

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = x^2 - 7", "y = x - 2"], "latex_expressions": [" $y = x^2 - 7$ ", " $y = x - 2$ "]}

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!