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
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The equation has NO solution ⇒ C

Step-by-step explanation:

An absolute value of a number means the value of the number without its signIxI = m, then x = m or x = -mExample: I2I = 2 and I-2I = 2

V.I.N:

Absolute never give a negative valueIf 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

B

Step-by-step explanation:

The 2 triangles are similar, so the corresponding sides are in proportion, that is

= , substitute values

= ( cross- multiply )

12 DE = 72 ( divide both sides by 12 )

DE = 6 → B