Answer:
remember that if
and
. This means that
always is a positive number.
Then, there are no numbers such that because -3 is a negative number.
The length of the rectangle is 9 inches. The area is 72 square inches. What is the width of the rectangle?
1 answer:
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The graph that matches the given equation is y≥x-1 is Graph A.
Option: C.
<u>Step-by-step explanation:</u>
The given equation y≥x-1 is a linear inequality equation.
Graphing Linear Inequalities differs from graphing regular linear equations. That is it has certain rules to be followed to draw the graph.
- First, rearrange the equation as y in the left and other terms in the opposite side.
- Check for the line: y= , y≤ and y≥ comes with straight line where as y< and y> comes with a dotted line.
- Shading: If y> greater than or y≥ greater than or equal is present then the space above the line has to be shaded. If y< less than or y≤ less than or equal is present then the space below the line has to be shaded.
For the given equation y≥x-1,
The line will be solid passing through (0,-1) and (3,2) since it has y≥. Also, the region above the line is shaded.
So the graph A is the graph that matches the equation y≥x-1.
As shown in the figure below the answer is the last option:
The roots of the polynomial in the denominator are:
So, the inequality can be written as follows:
From this inequality we can study the signs and get the same conclusion just as shows the graph.
The roots of the polynomial in the denominator are:
So, the inequality can be written as follows:
From this inequality we can study the signs and get the same conclusion just as shows the graph.