If 3 lt- p lt- 7 and -9 lt- q lt- -4- then what is the range of p - q-16- -7-16- 7-7- 16-7- -16-

The correct option is C (7, 16)3 lt;p lt;7 and 9 lt;q lt; 4 Multiply the second inequality with 1. This causes the sign to flip. So, 3 lt; p l ...

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Squaring an Inequality

If 3 lt; p...

Question

If $3 < p < 7$ and $- 9 < q < - 4$ , then what is the range of p - q?

(-16, -7)

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(16, 7)

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(7, 16)

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(-7, -16)

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(i) (3x + 7)² − 84x = (3x − 7)²(ii) (9p − 5q)² + 180pq = (9p + 5q)²

(iii)

(iv) (4pq + 3q)²− (4pq − 3q)² = 48pq²

(v) (a − b) (a + b) + (b − c) (b + c) + (c − a) (c + a) = 0

Factorise :
$16 (2 p - 3 q)^{2} - 4 (2 p - 3 q)$

{(\frac{4 m}{3} - \frac{3 n}{4})}^{2} + 2 m n = \frac{16 m^{2}}{9} + \frac{9 n^{2}}{16}

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3 < p < 7

- 9 < q < - 4

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