We can use Triangle Inequality Theorem, the length of the third side of a triangle must always be between (but not equal to) the sum and the difference of the other two sides.

4.1 - 1.3 < x < 4.1 + 1.3
2.8 < x < 5.7

so, the answer is 2.8 < x < 5.7

7 0

1 year ago

Which ordered pair makes both inequalities true?

kvasek [131]

Answer:

(3, 0)

Step-by-step explanation:

Given the inequality y > -2x + 3 and y ≤ x - 2

The graph of the inequalities are plotted using the geogebra graphing online calculator.

The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.

All the ordered pair points given in the question are also labelled in the graph.

From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.

6 0

3 years ago