lilyannas2007
Answered

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y greater than or equal to |x| + 3

which of the following is NOT a solution of the inequality

Y Greater Than Or Equal To X 3which Of The Following Is NOT A Solution Of The Inequality class=

Sagot :

(-3,0) would not be a solution to the inequality.
absor201

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.

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