The absolute value inequality equation |2x – 1| > 3 will have what type of solution set?

Given:

The inequality is:

To find:

The solution set for the given inequality.

Solution:

We know that, if , then and .

We have,

It can be written as:

or

Case I:

Case II:

The required solution for the given inequality is or . The solution set in the interval notation is .

Therefore, the required solution set is .

answer is 67%

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.