Linear equations and inequalities

Linear Equations

Submitted by michaela.bailova on Fri, 12/06/2024 - 15:26

Submitted by michaela.bailova on Tue, 09/24/2024 - 14:23

Submitted by michaela.bailova on Tue, 09/24/2024 - 14:21

Submitted by michaela.bailova on Tue, 09/24/2024 - 14:15

Level:

Identify a picture that shows the correct solution set of the following inequality. The solution set is marked in red.

- 0.5 x + \frac{2 x + 1}{2} \leq 2

Level:

Identify a picture that shows the correct solution set of the following inequality. The solution set is marked in red.

0.5 x + 2 < - 2 x + 8

Level:

Solve the following inequality and choose the diagram that shows the correct solution set marked in red on the number line.

4.5 - 0.7 x < 1 - 2.1 x

Level:

Find the minimal integer which satisfies the following inequality.

3 x - 1 \leq 7 x - 8

2

0

3

1

Level:

Find the linear inequality of which the solution set is shown in red in the graph below.

\frac{x + 4}{2} > 6 - x

\frac{x - 4}{2} > 6 - x

x + 2 \geq 6 - x

\frac{x + 4}{2} < 6 - x

Level:

Find the solution set of the following equation.

x \sqrt{5} - 2 \sqrt{10} x = - 35

{\sqrt{5} + 2 \sqrt{10}}

{\sqrt{5} - 2 \sqrt{10}}

{- \sqrt{5} + \sqrt{10}}

{\sqrt{5} - \sqrt{10}}