Use the drawing tool(s) to form the correct answer on the provided graph.
1 answer:
The plotting of the inequalities was done using geogebra online graphing calculator. The graph is attached.
<h3>What are inequalities?</h3>Inequalities are the mathematical expressions in which both sides are not equal. It should be noted that in inequality, unlike in equations, we compare two values.
The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. Inequality is an expression used to show the nonequal comparison of numbers and variables.
Given the system of inequalities:
3y > 2x + 12
3y - 2x > 12 (1)
2x + y < -5 (2)
Plotting the inequalities using GeoGebra online graphing calculator. The graph is attached
Learn more on inequalities on:
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<h3>Answer: Always</h3>
Explanation:
Drawing out a diagram usually helps with these types of problem. See the diagram below.
We have angle 3 and angle 4 as corresponding angles (since they are both in the north east corner of each four-corner configuration). Angle 1 = angle 3 is one pair of vertical angles and angle 2 = angle 4 is another pair of vertical angles. We see that angles 1 and 2 are corresponding angles in the south west corners of each four-corner configuration. That's why the original statement is always true.