Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Determine whether the ordered pair is a solution of the linear inequality.

8. y ≤ − 2 x + 1 ; ( 2 , 2 ) y less than or equal to negative 2 x plus 1 semicolon open 2 comma 2 close
9. x < 2 ; ( − 1 , 0 ) x less than 2 semicolon open negative 1 comma 0 close
10. y ≥ 3 x − 2 ; ( 0 , 0 ) y greater than or equal to 3 x minus 2 semicolon open 0 comma 0 close
11. y > x − 1 ; ( 0 , 1 ) y greater than x minus 1 semicolon open 0 comma 1 close
12. y ≥ − 2 5 x + 4 ; ( 0 , 0 ) y greater than or equal to , negative , 2 fifths , x plus 4 semicolon open 0 comma 0 close
13. 3 y > 5 x − 12 ; ( − 6 , 1 ) 3 y greater than 5 x minus 12 semicolon open negative 6 comma 1 close

See Problem 2.

Graph each linear inequality.

14. y ≤ x − 1 y less than or equal to x minus 1
15. y ≥ 3 x − 2 y greater than or equal to 3 x minus 2
16. y < − 4 x − 1 y less than negative 4 x minus 1
17. y > 2 x − 6 y greater than 2 x minus 6
18. y < 5 x − 5 y less than 5 x minus 5
19. y ≤ 1 2 x − 3 y less than or equal to , 1 half , x minus 3
20. y > − 3 x y greater than negative 3 x
21. y ≥ − x y greater than or equal to negative x

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