Which inequality is true?

a. |-15| > |-19|
b. |-16| < |13|
c. |-15| > |12|
d. |12| < |-8|
e. |-19| > |-20|

Option C

|-15| > |12| is true from given five inequalities.

Solution:

Need to determine which of the given inequality is true from given five options.

Let's first understand what is mode of any real number "x", that is |x| means.

|x| = |-x| = absolute value of "x" ignoring its sign = "x"

Let’s check each option

A. |-15| > |-19|  

|-15| = 15 and |-19|  = 19

As 15 cannot be greater than 19.

Hence inequality |-15| > |-19|  is not true.

B. |-16| < |13|

|-16| = 16 and |13| = 13

As 16 cannot be less than 13.

Hence inequality |-16| < |13| is not true.

C. |-15| > |12|

|-16| = 15 and |12| = 12

As 15 is greater than 12

Hence inequality |-15| > |12| is true.

D. |12| < |-8|

|12| = 12 and |-8| = 8

As 12 cannot be less than 8.

Hence inequality 12| < |-8| is not true.

E. |-19| > |-20|

|-19| = 19 and |-20| = 20

As 19 cannot be greater than 20.

Hence inequality |-19| > |-20| is not true.

So we can conclude that only one inequality that is Option C, |-15| > |12| is true from given five inequalities.

d

step-by-step explanation:

d

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕