Question

Solve |x + 3|= -6

O A. x= -3 and x = 9
O B. x= -3 and x = -9
O C. No solution
D. x= 3 and x = -9
Need Help

Answer 1

The equation has NO solution ⇒ C

Explanation:

• An absolute value of a number means the value of the number without its sign

• IxI = m, then x = m or x = -m

• Example: I2I = 2 and I-2I = 2

V.I.N:

• Absolute never give a negative value

• If the number on the other side of the equation negative then the equation has no solution

Let us solve the question

∵ Ix + 3I = -6

∵ The right side of the equation is negative

∵ Absolute never give a negative value

→ By using the 2nd note above

∴ The equation has NO solution