Question

Please help me, And also explain to me what you do.

Answer 1

63. Always 64. Sometimes 65. Sometimes

Step-by-step explanation: they are not equivalent. |-x| takes the positive value, so the result is positive -|x| takes the positive value, but turns it negative 0 is an option, so sometimes true.

Answer 2

63. Always

64. Sometimes

65. Sometimes

Explanation:

Hello!

63.

An absolute value bracket changes any value inside to its positive value.

So:

• |x| = |-x|

You take the positive form of x and you change the negative x into its positive form. Both values are equivalent. Always true.

64.

Sometimes true

• |x| stays positive
• -|x| takes the positive value of x , but turns it back negative

Since 0 is an option, Sometimes true.

65.

They are not equivalent.

• |-x| takes the positive value, so the result is positive
• -|x| takes the positive value, but turns it negative

0 is an option, so sometimes true.