Question

Choose the inequality that matches the graph below.

x ≤ -3 and x > 5

x < -3 or x ≥5

x < -3 or x > 5

x < -3 and x ≥ 5

Answer 1

Look at the circles on the graph: they will tell you whether the inequalities they end are (\(<>\)) or (\(\le\ge\)). A closed circle (filled in) means that the point is included (\(\le,\ge\)).

Then examine the shaded areas and choose the matching equations. For example, in this one, you have a stretch that is to right of a number with a closed circle, so you'll have an inequality of the form \(x \ge n\) where \(n\) is that number.

Answer 2

NO @primeralph

Answer 3

AM THINKING THE 3 CHOICE BUT AM NOT SURE

Answer 4

there is only 2 choice

Answer 5

WHICH ONE WOULD U GO WITH @hani0214

Answer 6

The 3rd choice is no good, because that is x > 5 but the graph shows x >= 5 (closed circle). The 1st choice is no good for the same reason.

Now you have to choose between 2nd and 4th choices. Graph has an open circle for the other inequality, but both are < so no help there. Look at the wording of the 4th choice: it has "and" instead of "or". Well, can a single number be both < -3 and >= 5? No. That leaves the 2nd choice as the correct one.