linear inequality in two variable in math

Question

Which of the following expressions represents the statement “thrice a number is less than seven"? *

3n – 7

7 < 3n

3n < 7

3. Which of the following ordered pairs belongs to the graph of y > 2x – 4? *

(2, -3)

(2,3)

(3,1)

4. The boundary line is solid when the points on the line are not part of the solution. *

Always True

Sometimes True

Never True

5. A system of inequalities has no solution. *

Always True

Sometimes True

Never True

Answer 1

thrice a number is less than seven: 3n < 7

y>2x-4 includes point (2,3) 3>2(2)-4), 3>0

Never true, a dotted line means the solution does not include the boundary. A solid line means it includes the boundary.

A system of inequalities sometimes has no solution, such as: x>2 and x<0 has no solution.

x<2 and x>0 has a solution.