The process of ascertaining whether a point is a solution involves replacing the point's coordinates into a mathematical equation. If the equation holds true following the replacement, we can consider the point as a solution. Conversely, if the equation does not hold, the point is not a solution. This is a critical principle in the fields of algebra and analytic geometry.
| Topic | Problem | Solution |
|---|---|---|
| None | Graph the inequality in the coordinate plane. \[ … | Draw a vertical line at x = -2 |
| None | Select the ordered pairs that are solutions to th… | \( (1,-3)\: 2(1)-3(-3) = 2+9 = 11 \not\geq 12 \) |
| None | By choosing points not on the logo and Substituti… | First, we need to understand the inequality. The inequality $(2x+45)^2+(2y-0)^2\leq 25$ represents … |