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the inequality sign will only change in an equation if you are multiplying or dividing by a negative number...
for example if you have the equation -1x+2>3 you would subtract by 2
you would have -1x>1
the next step is -1x>1
-1 -1
your dividing by -1 so the sign flips from greater than to less than (it can go less than to greater than too) and your final answer would be x<-1
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Does an inequality change when you multiply by a negative?
Yes you have to flip the sign.
What way does an inequality sign face when it is greater than or equal to?
The inequality sign opens towards the bigger number.
How do you know weather to shade above or below the line when graphing an inequality on the coordinate plane?
If the inequality has a > or ≥ sign, you shade above the line. If the inequality has a < or ≤ sign, you shade below it. Obviously, just an = is an equation, not an inequality.
What are the critical features of an inequality?
An inequality must have a greater than sign (>) OR a less than sign (<) OR a greater than or equal to sign (≥) OR a less than or equal to sign (≤).
When graphing a linear inequality the first step is to replace the inequality symbol with a sign?
john
Why does the inequality sign change when both sides are multilpied or divided by a negative number.Does this happen to equations?
It changes because the number may be lesser than the original equation. The greater the negative number the more likely the inequality sign will change.
Can linear equations and linear inequality be solved the same way?
Basically. If the inequality's sign is < or ≤, then you shade the part under the line. If the inequality's sign is > or ≥, then you shade the part over the line.
Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?
-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"
Explain how solving inequalities is alike and different from solving equations?
Most of the steps are the same. The main difference is that if you multiply or divide both sides of an inequality by a NEGATIVE number, you must change the direction of the inequality sign (for example, change "less than" to "greater than").
How do you solve the inequality2x -10 6?
This isn't an inequality, since there is no less-than, greater-than, less-than-or-equal, or greater-than-or-equal sign. However, solving inequalities is similar to solving equations; however, when you multiply by a negative number, you must change the direction of the inequality sign.
Does the inequality signs change when both sides are multiplied by a negative number in equations?
yes it does
Why does inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations why or why not?
I cannot tell you why it changes however it does happen with an equation as most inequalities start off in an equation.
Does an inequality change when you multiply by a negative?
Yes you have to flip the sign.
Can equation and inequality have the same solution?
No, inequalities have more than, less then, at least, or no more than signs. Equations just have equal signs. An inequality answer can't be written as just a number it has to have a sign with it.
What is the difference between equality and inequality?
equality does not change signs inequalities do for greater than or less than equations
When you divide both sides of an inequality by a positive value you must change the direction of the inequality sign?
No. Only when you divide by a negative.
How to do inequality?
It's the same thing as solving an equation, the minor difference is to change the inequality sign when the numbers change signs(i.e negative to positive to negative).
