Question

if modulus x + 2 modulus greater than equal to 9 then x belong to to​

Answer 1

Answer:

The value of x is

$x \leqslant - 7 \: or \: x \geqslant 7$

Step-by-step explanation:

The answer is explained in the image.

Answer 2

Given:

• |x+2| ≥ 9.

To Find:

• Range of values of x .

Answer:

⇒|x+2| ≥ 9.

⇒|x+2|² ≥ 9².

⇒(x+2)² ≥ 9².

⇒(x+2) ≥ ± 9 .

Case 1:

⇒(x+2) ≥ 9

⇒x ≥ 9-2

⇒ x ≥ 7

—» x E [7,∞)

Case 2:

⇒(x+2) ≥ -9

⇒x ≥ -9-2

⇒ x ≥ -11

—» x E [-11,∞)

Hence from above cases x belongs to

→ x E [-11,∞).