The graph of part of linear function h is shown on the grid. Which inequality best represents the domain of the part shown?

−5≤x<3

−5
−4
−4≤h(x)<8

– 5 ≤ x < 3

Step-by-step explanation:

NOTE: The domain is all posible values indicated on the x-axis.

From the graph given in question above, it is evident that x lies between – 5 and 3.

A careful observation of the graph reveals that x is less than or equal to – 5 (i.e x ≤ – 5) since the tip of the line indicating that x is – 5 is shaded. On the other hand, x is less than 3 ( ie x < 3) since the tip of the line indicating that x is 3 is not shaded.

Thus, we say that:

x ≤ – 5

x < 3

Combining the above expression together, we have

– 5 ≤ x < 3

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