Q. Determine the value of y, if x is −9 .y=∣x∣+3Answer:
Identify Absolute Value: Identify the absolute value operation in the equation.The equation y=∣x∣+3 includes an absolute value operation, which means we take the non-negative value of x, regardless of its original sign.
Substitute Value of x: Substitute the value of x into the equation.Since x is given as −9, we substitute −9 for x in the equation to get y=∣−9∣+3.
Calculate Absolute Value: Calculate the absolute value of x. The absolute value of −9 is 9, so the equation becomes y=9+3.
Add 3: Add 3 to the absolute value of x.Adding 3 to 9 gives us y=12.
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