What is the Slope-Intercept inequality for the graph 3 2 and -3 -6?
m = slope
b = y-intercept slope = (y1-y2)/(x1-x2)
slope = (2--6)/(3--2)
slope = 8/5
Does raising each side of a compound inequality to a negative exponent flip the signs of the inequality?
Yes, taking the reciprocal (raising each side to the -1 power) of each side of a compound inequality can flip the signs of the inequality. This can be useful when you have an inequality with 'x' in the quotient. Taking the reciprocal of each side can be a more direct way of solving the inequality than multiplying each side by 'x'. The following is an example: | 2/x - 2 | < 4 Following the…
You have to graph an inequality on a number line. For example, x>3. The number 3 on the number line gets an open circle around it, and a line is extended to all the other possible equations. There is an open circle if it is a "greater than or less than" sign, and there is a shaded circle if there is "greater than or equal to, or a less than or equal to" sign.
To graph this in Cartesian coordinates start by solving the inequality for either x or y: y --less than or equal to-- 3-x/3 Now, if this were not an equality we would have y=3-x/3 this equation would yield a linear graph with a slope of -1/3 and a y intercept of 3 But the graph for the inequality must also could include all of the points (x,y) below this line so we end up with…
Get the variables on one side of the inequality sign, and the numbers on the other side. You do this by using inverse operations. Divide the number by the variable. If you divide using a negative number you flip the inequality sign. An example of what you are looking at should look like x > 3. You would graph this example by drawing a number line, then putting an open cirlce at three, and shading…
What is the difference between a compound inequality using the word and and compound inequality using the word or?
How do you graph and solve the system of inequality -3 is less than x and x is less than or equal to7 on a ti-83 calculator?
How can you tell whether an absolute value inequality is equivalent to a compound inequality with the word and or to a compound inequality with the word or?
Split it into two parts, solve each part as if it had an "=" sign instead of an inequality. Ex: -6<3x+2<12 -6<3x+2; -8<3x; -8/3<x Other side-- 3x+2<12; 3x<10; x<10/3 Then put them back together. -8/3<x<10/3 *Make sure you remember to switch the direction of the inequality symbol if you are dividing by a negative number.*
A linear inequation is a line whose answers can be defined as anything on the line or anything below or above it. Just imagine it as a linear equation, except with an inequality sign. For example: 1/2X + 2 >/= 4 X >/=4 The answer to this inequality is 4 or anything greater than 4. NOTE: - If the coefficient of X [or in any inequality problem, the coefficient of the X with the largest…
Because when you fit in the variables, it wouldn't be true. therefore, you have to flip the inequality sign For example, 3 > 2 True 3(-2) > 2(-2) -6 > -4 False If you change the direction of the inequality symbol, in the same time that you multiply by a negative number, then you find a true statement. 3 > 2 True 3(-2) < 2(-2) -6 < -4 True This is because the greater the…
You solve an inequality in the same way as you would solve an equality (equation). The only difference is that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. Thus, if you have -3x < 9 to find x, you need to divide by -3. That is a negative number so -3x/(-3) > 9/(-3) reverse inequality x > -3
For the same reason you must flip it when you multiply by a negative number. An example should suffice. 2 < 3 If you multiply by -1, without switching the sign, you get: -2 < -3, which is wrong. Actually, -2 > -3. Look at a number line if you are not sure about this - numbers to the left are less than numbers further to the right. Dividing by a negative number is the…