Sort each equation according to whether it has one solution, infinitely many solutions, or no solution.
2 answers:
<h2>Answer:</h2>
Unique solution--
We get a unique solution when on solving a equation we get a unique or single value of x.
Infinite-many solution--
We get a infinite many solution if on solving a equation the value of x is not determined uniquely but the equation is true for infinitely many values of x.
No solution--
We get a condition of no solution when on solving a equation we get a absurd condition.
1)
on solving the equation by using distributive property
which is a absurd condition.
Hence, the given equation has no solution.
2)
on solving the equation by using distributive property we get:
As the expression on left and right hand side of the equation is same.
Hence, the equation will hold for infinite many values of x.
Hence, we get infinite many solution.
3)
on solving the equation:
We get a unique value of x.
Hence, the equation has a unique solution.
4)
on solving
We get a unique value of x.
Hence, the equation has a unique solution.
5)
which is solved as follows:
which is a absurd condition.
Hence, we get no solution.
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Option A: >
Solution:
Given a triangle GHJ.
The line GH is perpendicular to line HJ.
This means the triangle is a right angled triangle.
In ΔGHJ, GH is the base of the triangle and
HJ is a height of the triangle.
Then the third side must be the hypotenuse of the right triangle.
We know that by the Pythagoras theorem,
This clearly shows that the hypotenuse is greater than the height.
⇒ GJ > HJ
Option A: > is the correct answer.
If line GH is perpendicular to line HJ, then GJ is > HJ.