Jenna created the graph below to represent the solution to the inequality Negative 6 less-than x.

A number line going from negative 9 to positive 1. A closed circle is at negative 6. Everything to the right of the circle is shaded.

What error did she make?

For this case we have the following inequality:

Rewriting we have to:

This means that the solution is given by all values of x greater than -6.

The graphic solution: We place an open circle at -6 and shade all the values to the right of the graph.

The circle must be open because inequality does not include equality.

See attached image

Jenna was wrong because the circle must be opened at -6 and the shaded values will be infinitely

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2