Answer:
y=
astronomers measure large distances in light years one light year is the distance that light can travel in one year or approxima
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Given:
The number is .
To find:
The location of the given number of the number line.
Solution:
We have,
It can be written as
It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.
The mixed fraction form of given number is
Divide the number in 5 equal parts between two consecutive integers.
Now each unit represents .
Since , therefore, it is 2 units left from -1.
The number line is given below.
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.
