What are the solutions to the inequality (x-3)(x+5) <0?
o {X33X55)
o {X/-55X5-3)
o {x\-55x53)
{x-35x35)

You want a product to be negative. A product is negative if and only if the two factors have opposite signs.

So, there are two cases: either is positive and is negative, or vice versa. But since is less than , the only possibility is that

So, the solution is given by all numbers such that

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1