Graph the solution to the following system of inequalities in the coordinate plane.
1 answer:
Answer:
see below
Step-by-step explanation:
The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.
The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.
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Answer:
x ≤ 7 => +
x ≤ 8 => - +
≥ -
x ≤ -5 => - -
x ≤ -6 => + 105 ≤ 96
Step-by-step explanation:
- +
≥ -
+
≥
/ *10
2 + 6 ≥ x
8 ≥ x
- -
/ *6
- 100x - 11 ≥ 489
-500 ≥ 100x
-5 ≥ x
+ 105 ≤ 96
≤ 96 - 105 / *
x ≤ -6
+
/*18
-13x + 10 ≥ - 81
-13x ≥ -91 /:-13
x ≥ 7