High School

Three minus eleven times a number is more than twenty-one minus five times the number. Show your work.

Answer :

The solution to the equation is x is less than 1.

Let's assume the number as "x".

The given statement can be translated into an equation as follows:

3 - 11x > 21 - 5x

To solve this equation, we can start by simplifying both sides:

3 - 11x > 21 - 5x

Next, let's gather the terms with x on one side and the constant terms on the other side by adding 11x and subtracting 21 from both sides:

3 - 11x + 11x - 5x > 21 - 5x + 11x - 21

Simplifying further, we get:

-16x > -x

Now, we can divide both sides by -16, but since we are dividing by a negative number, we need to reverse the inequality sign:

-16x / -16 < -x / -16

x < 1

Therefore, the solution to the equation is x is less than 1.

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