Question

Solve for x: 5 − (x + 5) > −2(x + 4)

Answer 1

Answer:

Value of x is greater than -8.

Step-by-step explanation:

Given:

5 - ( x + 5 ) > -2( x + 4 )

We need to find value of x.

Consider,

5 - ( x + 5 ) > -2( x + 4 )

using distributive property, we get

5 - x - 5 > -2x - 2× 4

5 - x - 5 > -2x - 8

Now simplify both side.

-x > -2x - 8

transfer -2x from RHS to LHS

-x + 2x > -8

x > -8

Therefor, Value of x is greater than -8.

Answer 2

$5 - (x+5) \ \textgreater \ -2(x+4)$
First we work out the brackets

$5- x -5 \ \textgreater \ -2x - 8$
$-x \ \textgreater \ -2x - 8$
Now we add -2x to both sides of the equation

$x \ \textgreater \ -8$
Hence, the anser is x > -8