Question

X+2y is greater than or equal to 10. Which of the following ordered pairs are solutions to the system

Answer 1

(4,4), (2,8) (4,8) and all points in the shaded region as attached below

Explanation:

This question is on solutions for inequalities equations

Give the equation as;

x+2y ≥ 10.......................................rewrite the equation for graphing purposes

x+ 2y = 10.............................................compose a table for values of x with corresponding values of y

x -2 0 2

y 6 5 4

Plot and shade the wanted region as show in the attached graph

For example point (4,4) or point (2,6) will satisfy the inequality x+2y ≥ 10 as;

(4,4)........ x+2y ≥ 10------4+2(4) ≥ 10

20 ≥ 10 ,,,,,,,,,,,,,,,,,,which is okay