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CLEAR CHECK

Part A: The solution to 3x−13=−4 is x=3.

The solution to 3x−13>−4 is x { } 3.

A value for x that is a solution to 3x−13=−4 is x= { }

. A value for x that is a solution to 3x−13>−4 is x= { }

.

Part B: The solution to −3x−13=−4 is x=−3.

The solution to −3x−13>−4 is x { } −3.

A value for x that is a solution to −3x−13=−4 is x= { }

. A value for x that is a solution to −3x−13>−4 is x={ }

The correct answer is

3x − 13 > −4 is x { > } 3.

3x − 13 = −4 is x= { 3 }.

3x − 13 > −4 is x= { 5 } .

−3x − 13 > −4 is x { < } −3.

−3x −13 = −4 is x= { -3 } .

−3x − 13 > −4 is x= { -5 }.

Step-by-step explanation:

Part A: The solution to 3x − 13 = −4 is x=3.

The solution to 3x − 13 > −4 is x { > } 3.

⇒ 3x > 13 - 4

⇒ 3x > 9

⇒ x > 3.

A value for x that is a solution to 3x − 13 = −4 is x= { 3 }

A value for x that is a solution to 3x − 13 > −4 is x= { 5 } .

Any number more than 3 can be considered as a solution to this inequality.

Part B: The solution to −3x −13 = −4 is x=−3.  

The solution to −3x − 13 > −4 is x { < } −3.

⇒ -3x > 13 - 4

⇒ -3x > 9

⇒ x < -3.

A value for x that is a solution to −3x −13 = −4 is x= { -3 }

A value for x that is a solution to −3x − 13 > −4 is x= { -5 }

Any number less than -3 can be considered as a solution to this inequality.