Question

Solve: x over 21 is less than or equal to negative 6


A. x is less than or equal to negative 126
B. x is greater than or equal to negative 3.5
C. x is less than or equal to negative 3.5

Answer 1

Multiplication property works in a very similar fashion for inequalities as it does for equality, as long as what you multiply to both sides is positive...
\[\huge \dfrac{x}{21}\le-6\]

Answer 2

So you can multiply both sides of the inequality by 21...
\[\huge 21\cdot\frac{x}{21}\le -6\cdot 21\]\[\huge \cancel{21}\cdot\frac{x}{\cancel{21}}\le -6\cdot 21\]

Answer 3

-6.5 isn't a answer though.

Answer 4

How would you get -6.5?

Answer 5

Meant -6.21 Sorry

Answer 6

Oh, sorry, that's not a decimal point...
\[\huge \cancel{21}\color{red}{\times}\frac{x}{\cancel{21}}\le -6\color{red}{\times} 21\]

Answer 7

The raised dot is a symbol for multiplication... you'd do well to remember that :)

Answer 8

Ok Thank you I get it now!

Answer 9

No problem :)