For the inequalities x2 – 4x – 21 < 0 and y2 – 18y + 77 ≤ 0, t

For the inequalities x2 – 4x – 21 y2. x ≥ y3. x ≤ y4. x = y

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For the inequalities x2 – 4x – 21 y2. x ≥ y3. x ≤ y4. x = y

1.	For the inequalities x2 – 4x – 21 < 0 and y2 – 18y + 77 ≤ 0, then which of the following is TRUE?1. x > y2. x ≥ y3. x ≤ y4. x = y
Answer» Correct Answer - Option 3 : x ≤ y GIVEN: Inequalities x² – 4x – 21 < 0 and y² – 18y + 77 ≤ 0 CONCEPT: Inequality CALCULATION: x² – 4x – 21 < 0 ⇒ (x – 7) (x + 3) < 0 ⇒ x = (-3, 7) y² – 18y + 77 ≤ 0 ⇒ (y – 7) (y – 11) ≤ 0 ⇒ y = [7, 11] Hence, x ≤ y

For the inequalities x2 – 4x – 21 < 0 and y2 – 18y + 77 ≤ 0, then which of the following is TRUE?1. x > y2. x ≥ y3. x ≤ y4. x = y

Answer» Correct Answer - Option 3 : x ≤ y

GIVEN:

Inequalities x² – 4x – 21 < 0 and y² – 18y + 77 ≤ 0

CONCEPT:

Inequality

CALCULATION:

x² – 4x – 21 < 0

⇒ (x – 7) (x + 3) < 0

⇒ x = (-3, 7)

y² – 18y + 77 ≤ 0

⇒ (y – 7) (y – 11) ≤ 0

⇒ y = [7, 11]

Hence, x ≤ y

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For the inequalities x2 – 4x – 21 &lt; 0 and y2 – 18y + 77 ≤ 0, then which of the following is TRUE?1. x > y2. x ≥ y3. x ≤ y4. x = y

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For the inequalities x2 – 4x – 21 < 0 and y2 – 18y + 77 ≤ 0, then which of the following is TRUE?1. x > y2. x ≥ y3. x ≤ y4. x = y