read the instructions first and then answer the guide questions
Answers
Step-by-step explanation:
Verbal sentences → Mathematical
1. The square of x is at mose eight
=> x² ≤ 8
2. The square of y increased by twice a number y is at least eight.
Given number = y
The square of y = y²
According to the given problem
The mathematical sentence
=> y²-2y ≥ 8
3.The sum of the square of x and a number x is greater than eight
The square of x = x²
The sum of x² and x = x²+x
=> x²+x > 8
4.The square of the sum of x and two is no less than eight
The sum of x and 2 = x+2
The square of x+2 = (x-2)²
According to the given problem
=> (x+2)² ≥ 8
5.The square of x is less than 8
The square of x = x²
According to the given problem
=> x² < 8
a)
On writing the variable and the other conditions according to the given problem .
b)
No , There is no difficulty in transforming the sentence into a mathematical by the conditions
more than or equal to = greater than or equal to
not below = greater than or equal to
no less than = greater than or equal to
no more than = less than or equal to
atleast = ≥
at most = ≤