Question

Did I do this right? if I didn't get it right can you help me? Thank you!​

Answer 1

9514 1404 393

Answer:

  work shown is incorrect

Step-by-step explanation:

An equal sign is a sacred symbol. It needs to be treated with respect. The equal sign can only be used legitimately when the expression on one side is actually equal to the expression on the other side.

Here, you seem to have ...

  16 -7 = 11 . . . . . FALSE

  9 ≠ 11 . . . . . . . . why the equal sign should not be used

So, the inequality you're trying to solve depends on which of the "equal" values you intend.

7 + x < 16 - 7

Subtracting 7 from both sides gives ...

  x < 2

This graphs as an open circle at x=2 and shading of the number line to the left from there. See the attachment for the graph.

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7 + x < 11

Subtracting 7 from both sides gives ...

  x < 4

This graphs as an open circle at x=4 and shading of the number line to the left from there. The graph is similar to the one attached, but has the point at x=4 instead of x=2.

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Your solution

Somehow you have concluded that x < 11. If that is correct, and you want to graph that, you need to draw an open circle at x=11 (not x=12), and shade the number line to the left from that point. A solid dot at x=12 and a line left of that does not represent the inequality x < 11.

A solid dot is used only for the "or equal to" case. You have graphed x ≤ 12.