Question

1/2 | x + 1 | is greater than or equal to 6

Answer 1

`X\geq 11, X\leq -13`

Explanation:

Step 1: (divide both sides by 1/2)

This would get you:

I x+1 I
`\geq` 12

Step 2:

Split the inequality into 2 inequalities; you would do this because the is an absolute value inequality.

So you would get:

X+1 ≥ 12 and X+1≤-12

Step 3: (solve)

For the first equation:

we would subtract 1 from both sides;

giving us the answer of

X≥11

For the second equation;

we would do the same thing as the first, only we would get an answer of X≤-13 because 12 was negative in the second equation.

-I hope this helps! Let me know if you have questions! ;)