Which number is NOT a solution of the inequality 3x 4 6Sol

Which number is NOT a solution of the inequality |3x + 4| < 6?

Solution

| 3x + 4 | < 6

when the absolute value sign is removed we get

-6 < 3x + 4 < 6

subtracting 4 from both sides

-6 - 4 < 3x < 6 - 4

-10 < 3x < 2

dividing both sides by 3

-10/3 < x < 2/3

therefore, solution of this inequality is all values of x lying between -10/3 to 2/3

values of x less than -10/3 and greater than 2/3 is NOT a solution of the inequality

Which number is NOT a solution of the inequality |3x + 4| < 6?Solution| 3x + 4 | < 6 when the absolute value sign is removed we get -6 < 3x + 4 < 6

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