Question

Drag each number to show whether or not it is a solution to the inequality shown.

Inequality: 20≥5+3x

Answer 1

solutions: -15, 4 3/4

not solutions: 10 2/3 and 129

Explanation:

Let's solve the inequality first

`20 \geqslant 5 + 3x \\ 20 - 5 \geqslant 3x \\ 15 \geqslant 3x \\ 5 \geqslant x`

so solution set must contain all the values that are less than equal to 5.

-15 and 4 3/4 are less than 5

so these are solutions.

129 and 10 2/3 are bigger than 5. That means these are not solutions.