Answer:
We conclude that the point (-3, 0) does NOT satisfy the inequality.
Step-by-step explanation:
Given the expression
[tex]y\ge \:\left|x\right|+3\:\:\:\:[/tex]
putting x = -3 and y = 6
[tex]6\ge \left|-3\right|+3\:\:\:[/tex]
Apply absolute rule: |-a| = a
[tex]6\ge \:6[/tex]
TRUE
Thus, the point (-3, 6) satisfies the inequality.
Given the expression
[tex]y\ge \:\left|x\right|+3\:\:\:\:[/tex]
putting x = 0 and y = 4
[tex]4\ge \left|0\right|+3[/tex]
Apply absolute rule: |a| = a, a≥0
[tex]4\ge \:3[/tex]
TRUE
Thus, the point (0, 4) satisfies the inequality.
Given the expression
[tex]y\ge \:\left|x\right|+3\:\:\:\:[/tex]
putting x = -3 and y = 0
[tex]0\ge \left|-3\right|+3\:\:\:[/tex]
Apply absolute rule: |-a| = a
[tex]0\ge \:6[/tex]
FALSE
Thus, the point (-3, 0) does NOT satisfy the inequality.
Therefore, we conclude that the point (-3, 0) does NOT satisfy the inequality.
