Question

Solve the inequality and write the solution in interval notation, ｜4x+3｜> -5

Answer 1

Just make it so the > is an Equal sign it makes it easier

Answer 2

Okay so I've done that and I get an answer of x> 2 and x< 1/2 but the book says its supposed to be graphed as ( negative infinity, infinity). Am I doing something else wrong?

Answer 3

The absolute value of any number is nonnegative (ie it's 0 or positive)

so |4x+3| will never be negative and it will always be larger than any negative number

Answer 4

so that's why the answer is ( negative infinity, infinity)

it's basically saying: any real number is a solution to ｜4x+3｜> -5

Answer 5

Ohhh okay, wow thank you

Answer 6

you're welcome