Answered

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.



Answer :

facundo3141592

The two representations are:

x > 5

A number line with an open circle at 5 and a line that points to the right.

Which are correct representations of the inequality?

We start with the inequality:

-3(2x - 5) < 5*(2 - x)

First, we need to solve this for x, expanding both sides we get:

-6x + 15 < 10 - 5x

Now we move the terms with x to the right side and the terms without to the left side.

15 - 10 < 6x - 5x

5 < x

This is a representation of the inequality.

The other will be a graph, to graph this on a number line we need to do an open circle at x = 5, and shade the region to the right (because x is larger than 5).

If you want to learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Other Questions