Question

Which inequality is equivalent to this thing that I don’t know how to explain but plssss help it would mean a lot and I can’t get any others wrong or I’ll fail the lesson help plss

Answer 1

Answer:
`x \le -5` (lower right hand corner)

To get this answer, you would divide both sides by -6 to undo the multiplication. When you multiply or divide both sides of an inequality by a negative number, the inequality sign will flip.

So,

`-6x \ge 30`

`-6x/(-6) \le 30/(-6)` ... dividing both sides by -6; inequality sign flips

`x \le -5`

----------------------

The longer way to do the problem would be to do it like this

`-6x \ge 30`

`-6x+6x \ge 30+6x` .... adding 6x to both sides

`0 \ge 30+6x`

`30+6x \le 0`

`6x+30 \le 0`

`6x+30-30 \le 0-30` ... subtracting 30 from both sides

`6x \le -30`

`6x/6 \le -30/6` ... dividing both sides by 6

`x \le -5`

The inequality sign does not flip because we are dividing both sides by a positive number.

Answer 2

-6x ≥ 30 Divide -6 on both sides to get "x" by itself

`(-6x)/(-6)\geq (30)/(-6)` When you divide/multiply a negative number in an inequality, you flip the sign >/<

x ≤ -5 Your answer is the bottom right option