Question

Equivalent ExpressionsWrite three different but equivalentexpressionsEx:-2(3x -5) > -6x + 10 > -4×+8-2x+2

Answer 1

The three expressions are :

3(6x - 8) > 18x - 24 > 10x + 30 + 8x - 6

EXPLANATION :

We need to have three expression that are equal to each other.

Let's say the first expression is :

`3(6x-8)`

The second expression is the simplification of the previous expression.

Multiply 3 to the parenthesis :

`3(6x-8)=18x-24`

The third expression is the break down sum of the previous expression.

18x can be break down into 10x and 8x

-24 can be break down into 30 and -6

That will be :

`\begin{gathered} 18x-24=(10x+8x)+(30-6) \\ =10x+30+8x-6 \end{gathered}`