Question

the inequality simplifies to 3/x+2+1>0. which inequality is equivalent? a. 4/x+2>0 b. 4/x+2<0 c. x+5/x+2>0 d. x+5/x+2<0

Answer 1

Answer:

C.

Step-by-step explanation:

Answer 2

Answer:

$x \geqslant - 5$

Step-by-step explanation:

first subtract 1 from both sides of inequality then multiply both sides with x+2 and lastly leave x alone by subtracting 3 from boths sides and add x to both sides$\frac{3}{x + 2} + 1 \geqslant 0 \\ \frac{3}{x + 2} \geqslant - 1 \\ 3 \geqslant ( - 1) \times (x + 2) \\ 3 \geqslant - x - 2 \\ x \geqslant - 5$