What is a double inequality?
A double inequality is an inequality where there are two signs, as opposed to one.
Ex: an inequality could be 3x < 15
A double inequality could be 3x < 15 < x + 20
If you'd want to solve that double inequality, you split it into to expressions:
3x < 15 and x + 20 > 15
Then just solve.
x < 5 and x > -5
-5 < x < 5
If the absolute value inequality is of the form where the absolute value of the difference between a variable (X) and some constant (a) is compared to another constant (b) eg |X - a| compared with b, then if the comparison is < or â‰¤, the compound inequality is a double inequality of the form c < X < d (or â‰¤), and if the comparison is > or â‰¥, the compound inequality is a…
Is there ever a time when the same value will be a solution for both the equation and the inequality?
Solve the inequality and enter your solution as an inequality comparing the variable to the solution -3 plus x10?
How do you know weather to shade above or below the line when graphing an inequality on the coordinate plane?
Is it an inequality if a new and equivalent inequality can be created by changing the signs of both terms and reversing the sense?
Choose any point and substitute its coordinate into the inequality. If the inequality remains TRUE then the region containing the inequality is the one that you want. If it is false, then you want the region on the other side of the line. You can choose any point in the plane and substitute its coordinates into the inequality. The origin is usually the simplest.