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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.