Question

X/-6≥-20help meeee
`(x)/( - 6 ) \geqslant - 20`

Answer 1

We need to solve an inequality given in the form:

`(x)/(-6)\ge-20`

So we need to isolate "x" on one side to the inequality symbol.

In order to do that, we need to multiply both sides by the number "-6" (which will cancel out the denominator that "x" has). Bit we need to recall that when we multipkynor divide by a negative number boths sides of an inequality, the symbol flips direction. having that in mind, we proceed to multiply and solve for "x":

`\begin{gathered} (x)/(-6)\ge-20 \\ x\leq(-20)\cdot(-6) \\ x\leq120 \end{gathered}`

So the answer is: all real x-values less than or equal to 120.

If we need to give the answer in graphic form, we draw a number line with the origin (0), and mark on the right of it a point that we name "120". Then we highlight the line from the point 120 towards the left, and we make sure that we draw a solid dot on the 120 point mark to indicate that the point is included in the set.