Answer:
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.