What value of x is in the solution set of 2x - 3 > 11 - 5x?
-3, 0, 2, 4

Solution:

Given: 2x - 3 > 11 - 5x.

Let's solve the inequality

The basic difference between inequality and an equation is that inequality does not have a specific answer like in an equation, but a range of values. The range of a function denotes the maximum reach of the y axis of the function.

2x - 3 > 11 - 5x

Add 3 on both sides

2x - 3 + 3 > 11 - 5x + 3

2x > 14 - 5x

Add - 5x on both sides.

2x + 5x > 14 - 5x + 5x

7x > 14 

Divide both sides by 7

7x/ 7 > 14/ 7

⇒ x > 2

Thus, the range of values for x are all the real values greater than 2.

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What value of x is in the solution set of 2x - 3 > 11 - 5x?

Summary:

The value of x in the solution set of 2x - 3 > 11 - 5x is x > 2.