Question

Write down the inequality described by "negative three groups of x is less than two", and solve for x

Answer 1

- 3x < 2

x < - 1

Explanation and Check part below

Explanation and Check part belowHope this helps :)

Explanation:

1. To solve, first isolate the variable by doing the inverse operation which is in this case dividing by - 3 on both sides of the equation.

- 3x < 2

- 3 -3

x < - 1

2. Graph it if needed with an open dot because - 1 is not part of the set of solutions.

<--------○

<----l----l-----l----->

-2 -1 0

Check:

1. Substitute x with any number less than - 1 and solve.

- 3 (- 2) < 2

-6 < 2

True statement.