Write an inequality that represents the verbal expression all real numbers less than 74

The required inequality is

SOLUTION:  

Given, a verbal expression: all real numbers less than 74. Assume the set of real numbers that are less than 74 as x.

So, the inquality expression will be where the symbol < is the less-than sign

The real numbers include all the rational numbers, such as the integer −5 and the fraction , and all the irrational numbers, such as (1.41421356..., the square root of 2, an irrational algebraic number)

An inequality says that two values are not equal. The five inequality symbols are as follows,

•≠ = not equal to

•> = greater than

•< = less than

•≥ = greater than or equal to

•≤ = less than or equal to

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional