Which number produces an irrational number when multiplied by 2/5?
a) 5/7
b) -5/2
c) 1.34
d) pie

The correct option is (D) pie.

Step-by-step explanation:  We are to select the correct number that produces an irrational number when multiplied by pie.

We know that if one of number is a non-zero rational number, then for the product to be irrational, we must have the other number irrational.

Give number is 2/5, which is rational. So the other number must be irrational.

Out of the given options, first three numbers are rational.

Only the last number pie is irrational. Because, the digits after the decimal are non-repeating and non-terminating.

So, the product will be irrational, if the other number is pie.

Thus, the correct option is (D).

include a picture of the drawing in order for me to

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true