Solve for y.∣y∣−6≥−1Write a compound inequality like 1<x<3 or like x<1 or x>3. Use integers, proper fractions, or improper fractions in simplest form.______
Q. Solve for y.∣y∣−6≥−1Write a compound inequality like 1<x<3 or like x<1 or x>3. Use integers, proper fractions, or improper fractions in simplest form.______
Isolate absolute value: We have the inequality: ∣y∣−6≥−1First, we need to isolate the absolute value term ∣y∣ on one side of the inequality.∣y∣−6+6≥−1+6∣y∣≥5
Interpret inequality: Now we interpret the absolute value inequality ∣y∣≥5. The absolute value of a number is greater than or equal to 5 if the number itself is greater than or equal to 5 or less than or equal to −5. This gives us two inequalities: y≥5 or y≤−5
Write compound inequality: We can now write the compound inequality that represents the solution to the original inequality.The compound inequality is:y≤−5 or y≥5
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