Question

Which number line represents the solution to -3x ≤ 6?

Answer 1

Given inequality:

`-3x\leq6`

To represent the given inequality in number line.

We will solve the inequality to represent it in the number line.

`-3x\leq6`

Dividing both sides by
`-3`

`(-3x)/(-3)\geq(6)/(-3)` [Since we are dividing by a negative number, so the sign of inequality reverses]

`x\geq -2`

So, the solution in the number line will show all values up to infinity to the right of
`-2` including
`-2`