what is the inequality of 5 less than 6 times a number is at least 31

Answer 1

6x - 5 > 31

"5 less than" translates to -5

"6 times a number" translates to 6x in math symbols (or whatever letter you prefer to use. x is popular. the last 3 letters of the alphabet are most used for variables. or N for Number. if it's number of Fish, use an F. number of Dogs, use D.)

"is" translates to =

"is at least" translates to = or > or more compactly just >

the problem also likely wants you to solve for x

6x -5 > 31

6x > 31+5

x > (31+5)/6

x > (36)/6

x > 6

the number is at least 6

which means the same as "the number is greater than or equal to 6"

in interval notation, x is an element of [6, infinity)

check the answer, plug 6 into the original inequality

6(6) -5 > 31

31 > 31

31 is equal to or greater than 31