All of the following are true, EXCEPT. a. The boundary line of y > 3x +2 is a solid line. b. The boundary line of 2x - 5y ≤ 10 is a solid line. c. x + y ≥ 1 is a linear inequality.
d. (1, 1), is a solution of x + y > 1
Answers
All the statements are true except the boundary line of y > 3x +2 is a solid line.
Given : Statements
a. The boundary line of y > 3x +2 is a solid line.
b. The boundary line of 2x - 5y ≤ 10 is a solid line.
c. x + y ≥ 1 is a linear inequality.
d. (1, 1), is a solution of x + y > 1
To Find : Which statement is not True
Solution:
a. The boundary line of y > 3x +2 is a solid line.
FALSE
As there is no equality sign with inequality sign hence line is not a part of the solution so line must be dotted.
so Given statement is not True
b. The boundary line of 2x - 5y ≤ 10 is a solid line.
As there is Equality sign also hence line is a part of the solution so line must be solid
so TRUE
c. x + y ≥ 1 is a linear inequality.
Yes , this is an linear inequality
d. (1, 1), is a solution of x + y > 1
Substitute x = 1 , y = 1
=> 1 + 1 > 1
=> 2 > 1
which is True
Hence This is also True
Therefore , All the statements are true except the boundary line of y > 3x +2 is a solid line.
Learn More:
Write a system of linear inequalities illustrating the following ...
https://brainly.in/question/33805339
Which is the graph of the linear inequality 2x – 3y < 12?
https://brainly.in/question/28948164
Solve the following system of inequalities graphically 5x+4y≤40,x ...
brainly.in/question/15279588
Solve the following system of inequalities graphically: 3x + 2y ≤ 150 ...
brainly.in/question/17175146
