Question

Make a graph that shows the solution to x+3≤7

use -10 through 10 or -7 through 13

Answer 1

The graph represents the solution to the inequality x + 3 ≤ 7.

Using the range of -10 through 10 or -7 through 13, we can plot the graph.

First, let's consider the lower boundary: x + 3 = 7.
When x = 4, this equation satisfies the inequality, as 4 + 3 = 7.

Therefore, we start the graph with a filled circle at (4, 7).

Next, let's consider the upper boundary: x + 3 = 7.
When x = 4, this equation is no longer true, as 4 + 3 = 7.

Thus, we add an arrow going to the right from the filled circle to indicate that any value greater than 4, satisfies the inequality.

The graph looks like this:

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○ |
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<-------------|---------------|----------->
-10 0 10



So, the graph represents x values from -10 to 10 (or -7 to 13) that satisfy the given inequality x + 3 ≤ 7.