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Which inequality has 20 as a solution?
To find the inequality with 20 as a solution, we can represent it as x > 20, x ≥ 20, x < 20, or x ≤ 20. The inequality x ≥ 20 would have 20 as a solution since it includes all values greater than or equal to 20. This means that any number equal to or greater than 20 would satisfy the inequality x ≥ 20.
How do you decide whether a number is a solution of an inequality?
Substitute the number in place of 'x' in the inequality, and see whether the statement you have then is true.
How do you graph -6 is greater than x plus 5 as an inequality on a number graph?
The inequality -6 > x+5 can be rewritten -11 > x (by subtracting five from each side) or rather x < -11. To graph this on a number line, draw an open circle over the number -11 (if the inequality included "or equal to" the circle would be filled in). Then draw a line/arrow coming out of the circle over the number line. The line should only be drawn over the portion of the number line that makes the inequality true. For instance, choose a test point. When x is -20, the inequality is true: -20 < -11. So in this case, the arrow coming out of the open circle will point to the left, in the direction that the number line is getting smaller.
How do you know if a value is a solution for an inequality?
A number is called a "solution" for an inequality if, when you plug that number into the variable, the inequality becomes true. For example, 4 is a solution to the inequality "x + 5 < 10", because when you plug in 4 for x, you get "4 + 5 < 10", which is true. (4 plus 5 is 9, which is less than 10.) On the other hand, 6 is not a solution to the inequality "x + 5 < 10", because when you plug in 6 for x, you get "6 + 5 < 10", which is false. (6 plus 5 is 11, which isn't less than 10.)
What are linear inequalities in two variables?
The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.
