Without plotting these numbers, decide which inequalities are true. Check all that apply. StartRoot 7 EndRoot > 2 StartRoot 7 EndRoot < 7 StartRoot 7 EndRoot < StartRoot 8 EndRoot StartRoot 8 EndRoot < 2 StartRoot 8 EndRoot < 8

are true.

Step-by-step explanation:

Given inequalities are:

To find:

Without plotting these numbers, decide Which of the inequalities are true?

Solution:

Let us consider them one by one:

can be written as :

Value of is equal to 2 (which is the Right hand side of the inequality)

Therefore, is true.

Its RHS can be written as:

In RHS, LHS is multiplied by LHS itself.

And when a number greater than 1 is multiplied with itself, its value increases.

Therefore, is true.

7 < 8 so its root will also follow the same.

is also true.

Left Hand Side (LHS) can be written as:

and Hence, multiplying 2 with a number greater than 1 will make it greater than 2.

That means

Therefore, the given inequality is false.

Its RHS can be written as:

In RHS, LHS is multiplied by LHS itself.

And when a number greater than 1 is multiplied with itself, its value increases.

Therefore, is true.

answer: 4 (:

step-by-step explanation: