Hello, earachefl!

You should have solved theFind all values of such that the slope of the line

through the points and is less than 5.inequality. . . tricky, but safe.

You found the slope of . . . good!

. . Then we have: . .[1]

I'd like to multiply both sides by

. . but the result depends on whether is positive or negative.

Recall: when multiplying or dividing an inequality by a negative quantity,

. . . . . .reverse the inequality.

Suppose is positive . . . that is: .

Multiply [1] by by positive

. .

Divide both sides by -3: .

We have two inequalities to satisfy: . and

We take the "stronger" of the two: .

Suppose is negative . . . that is: .

Multiply [1] bynegative

. .

Divide both sides by -3: .

We have two inequalities to satisfy: . and

We take the "stronger" of the two: .

Therefore: . .. . . .or: .