Question

Sierra says that she can simplify the left side of the inequality 2(-3+5)+2grater than or equal to -4(x-2)-3 by combining the terms within the parentheses,but that she can't do the same on the right side. Is sierra correct?Explain

Answer 1

Explanation:

Yes, she is correct as the given equation is:

`2(-3+5)+2\geq-4(x-2)-3`

The left hand side of the above equation can be easily solved within parentheses as it does not contain any variable but the right hand side of the equation contains the variable x.

⇒
`-6+10+2\geq-4x+8-3`

⇒
`6\geq-4x+5`

⇒
`6-5\geq-4x`

⇒
`1\geq-4x`

⇒
`x\geq (-1)/(4)`