Table of Contents
What is integer in inequality?
Integer: An integer is any whole number. This includes positive whole numbers (like 1, 2 and 3), negative whole numbers (like -1, -2 and -3), and zero (0). Positive Integer: A positive integer is any whole number greater than 0 (like 1, 2, 3 and so on).
Which is smallest positive integer?
0
0 is the smallest positive integer.
What does it mean to satisfy the equation?
more A value (or values) that solve an equation. Example: 2x + 1 = 9. x=4 solves the equation (we get 8 + 1 = 9, which is true), so x=4 satisfies the equation.
What is the smallest integer n for which 25n 5 12?
7
Because n is greater than 6, the smallest integer that satisfies the inequality 25^n > 5^12 is 7.
What is the smallest integer that can make the inequality valid?
The nearest integer to 3.8 is 4, so that will make the inequality valid. So 4 is the smallest integer that can make the inequality valid. This can be proven by showing that an integer smaller than 4 will make the inequality invalid. We can see this already with 3.8. Though not an integer, it itself makes the inequality invalid.
Which integer is the smallest in the solution set?
When you substitute 7 back into the original inequality you get 15<13 which is false. When you substitute 8 back into the original inequality you get 16<17 which is a true statement. In fact any integer greater than 8 will be part of the solution set, but 8 is the smallest.
When solving inequalities there will be a range of answers?
When solving inequalities there will be a range of answers because any numbers represented by the range are acceptable, and there are an infinite amount of solutions to inequalities. For example, if \\ (a extgreater 3\\), then any number that is bigger than 3 is a possible answer, from any decimal slightly bigger than 3 to infinity.
How do you find the set of points that satisfy 2x+3y<10?
There will be an infinite set of points that satisfy the inequality 2x+3y<10. You will have a line dividing the coordinate plane into two sections. Every point in the blue shaded region satisfies the inequality 2x+3y<10. This is found by graphing the equation 2x + 3y = 10.