MATH SOLVE

4 months ago

Q:
# All are equivalent except x<-2, x-2<4, 2x<-4, x-2<-4 ?

Accepted Solution

A:

To figure out which is not equivalent to the others,, we must solve each option provided. x < -2 is already solved,, so there is no need to do any work that option.

The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.

x < 4 + 2

Now add the numbers together to get your final answer.

x < 6

This means that we have one option that equals x < -2 and one option that equals x < 6.

Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.

x < -2

Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.

x < -4 + 2

Now calculate the sum of these two numbers to get your final answer.

x < -2

This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.

Let me know if you have any further questions.

:)

The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.

x < 4 + 2

Now add the numbers together to get your final answer.

x < 6

This means that we have one option that equals x < -2 and one option that equals x < 6.

Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.

x < -2

Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.

x < -4 + 2

Now calculate the sum of these two numbers to get your final answer.

x < -2

This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.

Let me know if you have any further questions.

:)