Answered

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that 6 > –2, which statements are true? Check all that apply.

Sagot :

abidemiokin

Answer:

The following statements are true

(2)(6) > (–2)(2)

6/-2 < -2/-2

6/2 > -2/2

Step-by-step explanation:

Missing options

(2)(6) > (–2)(2)

6/2 < -2/2  

(–2)(6) > (–2)(–2)

6/-2 < -2/-2

(2)(6) < (–2)(2)

6/2 > -2/2

Before we know which statement is true, you must understand that when both sides of an inequality is multiplies or divided by a negative number, the inequality sign reverses.

For the first option:

6 > -2

Multiplying both sides by 2 will not reverse the inequality sign

Hence 2(6)>2(-2) is true since the inequality was retained.

For the second option:

6/2 < -2/2  

Dividing both sides by 2 will not reverse the inequality sign

Hence 6/2>2/2 is true nullifying the given expression 6/2 < -2/2  . Hence this expression is false

For the third option:

(–2)(6) > (–2)(–2)

Both sides were multiplied by a negative number i.e -2. Hence the sign supposed to reverse because -12 > 4 is false therefore this expression is FALSE

For the fourth option

6/-2 < -2/-2

Both sides were divided by a negative number i.e -2. Hence the sign supposed to reverse because -3 < 1 is true, therefore this expression is TRUE

For the fifth option:

((2)(6) < (–2)(2)

Both sides were multiplied by a positive number i.e 2. Hence the sign is not supposed to reverse because 12 < -4 is False, therefore this expression is FALSE

For the sixth option:

6/2 < (–2)/2

Both sides were divided by a positive number i.e 2. Hence the sign is not supposed to reverse because 3 < -4 is TRUE, therefore this expression is TRUE

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