Question

calculati A n B si A u B in fiecare dintre situatiile urmatoare:​

Answer 1

Inecuatie- "izolam" necunoscuta x

c)

$-9 < \frac{5x+12}{2} < 16\ \ \ | \cdot 2\\\\-18 < 5x+12 < 32\ \ \ \ |-12\\\\-30 < 5x < 20\ \ \ \ |:5\\\\-6 < x < 4\\\\x\in(-6,4)$

A=(-6,4)

$-8 < \frac{7x+12}{2} \leq 27\ \ \ |\cdot 2\\\\-16 < 7x+12\leq 54\ \ |-12\\\\-28 < 7x\leq 42\ \ |:7\\\\-4 < x\leq 6\\\\x\in(-4,6]$

B=(-4,6]

(-6                         4)

       ( -4                             6]

A∩B=(-4,4)

A∪B=(-6,6]

d)

$-1 < \frac{4x+10}{2} < 13\ \ \ | \cdot 2\\\\-2 < 4x+10 < 26\ \ \ |-10\\\\-12 < 4x < 16\ \ |:4\\\\-3 < x < 4$

A=(-3,4)

$3 < \frac{2x+14}{2} < 12\ \ \ |\cdot 2\\\\6 < 2x+14 < 24\ \ \ |-14\\\\-8 < 2x < 10\ \ \ |:2\\\\-4 < x < 5$

B=(-4,5)

(-4                                            5)

              (-3                    4)

A∩B=(-3,4)

A∪B=(-4,5)

Un alt exercitiu gasesti aici: brainly.ro/tema/7015063

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