Question

solve : 14-4y<(with the line ) 66

Answer 1

\[14 - 4y \le 66\]

we want to solve for 'y'...so we isolate it....lets subtract 14 from both sides of the inequality

14 - 4y <= 66
-14 -14

-4y <= 52

Now we want to solve for 'y'...so divide both sides by -4

*Important! when multiplying or dividing by a negative number in an inequality SWITCH THE DIRECTION OF THE SIGN*

-4y <= 52
-----------
-4 -4

\[y \ge -13\]

Notice the sign went from

\[\le\]
to \[\ge\]