How do I write this as an equation
1 answer:
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Naturally, any integer 
larger than 127 will return 
, and of course 
, so we restrict the possible solutions to 
.
Now,
is the same as saying there exists some integer
such that
We have
which means that any that satisfies the modular equivalence must be a divisor of 120, of which there are 16: 
.
In the cases where the modulus is smaller than the remainder 7, we can see that the equivalence still holds. For instance,
(If we're allowing
, then I see no reason we shouldn't also allow 2, 3, 4, 5, 6.)
Now,
is the same as saying there exists some integer
We have
which means that any
In the cases where the modulus is smaller than the remainder 7, we can see that the equivalence still holds. For instance,
(If we're allowing
Answer:
Please refer to the attached graph for the graph of linear inequality:
Step-by-step explanation:
Method to draw graph of inequality:
<u>1. First of all replace the inequality sign with equality.</u>
Now the equation is:
Now, find point and plot them.
Let us put x = 0, we get y = -1. So one point is <em>(0, -1)</em>
Let us put y = 0, we get x = 2. So one point is <em>(2,0)</em>
Now, plot both the point and join with straight line on xy coordinate axis.
2. Now, try to find a random point and put in the inequality.
If the point satisfies the inequality shade the region moving from the line towards that point.
For example:
Taking a point (4, 2)
Putting in the inequality:
So, (4, 2) satisfies the inequality.
Now, shade the region moving from the line towards the point (4,2).
We get the shaded region as shown in the attached figure in the answer area.
