WebNov 13, 2024 · An ordered pair ( x, y) is a solution to a linear inequality in two variables, a x + b y < c, if the ordered pair ( x, y) makes the inequality true, where the the same is for >, ≤, ≥ … WebJan 13, 2024 · Here we have the inequality: y > (1/4)*x + 5 To check if an ordered pair is a solution, we just need to replace the values of the ordered pair on the inequality and see if it is true. For example, for (12, 8) We will get: 8 > (1/4)*12 + 5 8 > 3 + 5 8 > 8 This is false, so (12, 8) is not a solution. The pair that is a solution is: (4, 7)
How to Determine If an Ordered Pair is a Solution to a …
WebQuestion: Determine which ordered pairs are part of the solution set for each inequality. y>=x+3,{(6,3),(-3,2),(3,-2),(4,3)} Determine which ordered pairs are part of the solution set for each inequality. y>=x+3,{(6,3),(-3,2),(3,-2),(4,3)} Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We ... WebTo see if an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get … fitness photoshoot near me
Worked example: solutions to 2-variable equations - Khan Academy
WebThe solutions are ordered pairs of numbers that "satisfy" the inequality. That is, (a, b) is a solution of the inequality if the inequality is a true statement after we substitute a for x and b for y. Example 1 . Determine if the given ordered pair is a solution of y = … WebRemember, there are infinitely many ordered pairs that would satisfy the equation. Example 1 Sketch the graph of 2x + y = 3. Solution We wish to find several pairs of numbers that will make this equation true. We will accomplish this by choosing a number for x and then finding a corresponding value for y. WebEvery ordered pair in the shaded area below the line is a solution to y < 2x+5 y < 2 x + 5, as all of the points below the line will make the inequality true. Try substituting the x and y coordinates of Points A and B into the inequality—you’ll see that they work. fitness photoshoot ideas