Which of the following statements are true and which are false? correct the false statements.

(a) ½ > 0.05, (b) (-2) < 2, (c) (-7) > 6, (d) |-7| > 3, (e) (-1) < 0< 1, (f) -4 > (-2) > -1

a)true b)true c)false; it should be -7 <6 d)true e)true f)false, it should be -4<(-2)<-1

Explanation:

We will examine all the statements and determine whether is true or false

a)

½ > 0.05

1/2 is equal to 0.5, and 0.5 is greater than 0.05, therefore this statement is true

b)

(-2) < 2

-2  is less than 2, this statement is also true

c)

(-7) > 6

-7 is less than 6 and not greater than 6, therefore this statement is false, we will rather write; (-7)  <   6

d)

|-7| > 3  

The absolute value of -7 is 7 and 7 is greater than 3, therefore this statement is true

e)

(-1) <0<1

-1 is less than 0 and 0 is less than 1, this is a true statement

f)

-4 > (-2) >-1

Negative 4 is not greater than negative 2 and negative 2 is not greater than negative 1, this statement is false. Rather negative 4 is less than negative 2 and negative 2 is less than negative 1 i.e -4 < -2 < -1

Therefore;

a)true b)true c)false; it should be -7 <6 d)true e)true f)false, it should be -4<(-2)<-1