Question

In which set do all of the values make the inequality 2x-1 <10 true?

Answer 1

Anything in the negatives like -2*2=-4-1 = -5

Or positive values up to 5

2*5=10-1=9

Answer 2

The set of values which makes the given inequality true for all the values

`SET=\x`

Explanation:

The given inequality is : 2x - 1 < 10

We need to find all the values of x for which the given inequality is true.

So, in order to do so, we need to solve the inequality for x.

Now, 2x - 1 < 10

Adding 1 on both the sides.

⇒ 2x - 1 + 1 < 10 + 1

⇒ 2x < 11

Dividing each term on both the sides by 2

`\implies (2x)/(2)<(11)/(2)\\\\\implies x<(11)/(2)`

Therefore, The set of values which makes the given inequality true for all the values :

`SET=\x`