Solve the inequality |x| < 5.

{x|-5 < x < 5}
{x|x < -5 ∪ x > 5}
{x|x -5 ∪ x < 5}

The answer is:

{-5<x<5}

To solve the problem, we need to remember how Absolute Value Functions behave, when we have this type of function, related to an inequality, the solution will be between two values.

We are given the inequality:

So, we know that "x" will be between -5 and 5:

Hence, the solution of the given inequality will be:

(-5,5) or {-5<x<5}

Have a nice day!

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation: