Question

||x+4|-7|<5
Please help!

Answer 1

x < -23

Explanation:

Due to the fact that we are dealing with absolute value, we know that the negative value of 7(Highly assuming you add x and 4 then multiply by |-7|(?)) becomes a positive--or neutral value.

`|-7| = 7`

Set up the equation

`(x+4(|-7|)) < 5`

Remove the parentheses

`x+4|-7| < 5`

Multiply(absolute values)

`4|-7| = 4 * |-7|\\\\|-a| = a\:\mathrm{if}\:a\\eq 0\\\\= 4 * 7\\= 28`

Simplify

`x+28 < 5`

Subtract by 28 now that we know this difference

`x+28-28 < 5-28\\5 - 28 = -23\\x < -23`

Hope this helps!

Something to note: only -7 should be in absolute value because it's a negative number. Formatting for the equation was incorrect, but I'm pretty sure that is something that shouldn't be addressed since it's only a minor miscalculation.