Question

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

Answer 1

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

Step-by-step 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

Answer 2

(a) True

(b) True

(c) False

(d) True

(e) True

(f) False

Step-by-step explanation:

(a)
`(1)/(2)`=0.5 and is greater than 0.05 .

(b) -2 < 2 negative numbers are lower than 0 our reference point.

(c)-7 > 6 is false because the first is negative.

(d) |-7| = 7 the absolute value function and is greater tha 3

(e) Using chain method, -1 is lower than 0 and 0 is lower than 1.

(f) Using chain method, -4 is not greater than -2 and -2 is not greater than -1.