Question

HELPPP;!!!!!!!!!!
Resolva as inequoção - quociente​

Answer 1

Resposta:

a: x ∈ { -∞, -15/8} ∪ { 8, +∞}

b: x ∈ { -∞,3} ∪ { 4, +∞}

c: x ∈ { -∞,-2} ∪ { 7, + ∞}

Explicação passo a passo:

a

$\left \{ 8x+15 > 0} \atop {2x-16 > 0}} \right.\\\left \{ 8x+16 < 0} \atop {2x-16 < 0}} \right.\\\\\left \{ {{x > - 15/8} \atop {x > 8}} \right. \\\left \{ {{x < - 15/8} \atop {x < 8}} \right.$

x ∈ { 8, +∞}

x ∈ { -∞, 15/8}

x ∈ { -∞, -15/8} ∪ { 8, +∞}

b

$\left \{ {{7x-21 > 0} \atop {9x-36 > 0}} \right. \\\left \{ {{7x-21 > 0} \atop {9x-36 > 0}} \right. \\\left \{ {{x > 3} \atop {x > 4}} \right. \\\left \{ {{y < 3} \atop {x < 4}} \right.$

x ∈ { 4, +∞}

x ∈ { -∞,3}

x ∈ { -∞,3} ∪ { 4, +∞}

c

$\left \{ {{x + 2 > 0} \atop {7x - 49 > 0} \right. \\\left \{ {{x + 2 < 0} \atop {7x - 49 < 0} \right. \\\left \{ {{x > -2} \atop {x > 7}} \right. \\\left \{ {{x < -2} \atop {x < 7}} \right.$

x ∈ { 7, +∞}

x ∈ { -∞,-2}

x ∈ { -∞,-2} ∪ { 7, + ∞}