To plot the solution to the inequality x + 3 ≤ 7, we will draw a number line and shade the region that satisfies the inequality. We will use the range from -10 to 10 for this example.
First, draw a horizontal line and label the numbers from -10 to 10 underneath it. Then, mark a point on the number line at the value of x = -3, since it is part of the inequality x + 3 ≤ 7.
Starting from -3, move to the right side of the number line indicating increasing values of x. Since the inequality is x + 3 ≤ 7, we subtract 3 from 7 to find the upper bound for x, which is 4. Place a solid dot at 4 on the number line.
Since the inequality is "less than or equal to," we shade the region to the left of the dot on the number line. This shaded region represents all the values of x that satisfy the inequality.
The graph of the solution to x + 3 ≤ 7, using the range -10 to 10, looks like this:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
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-10 -9 -2 4 10
Make a graph that shows the solution to x+3≤7.
use -10 through 10 or -7 through 13
1 answer