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In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality.

E.g.:

-x < 10

becomes:

x > -10

(Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)

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When the variable is on the left of the inequality symbol is represented by an open circle and a ray going to the right?

how the hell should i know


What does it mean when the x intercept in a slope is negative?

When the x-intercept of a line has a negative value, it indicates that the line crosses the x-axis to the left of the origin (0,0). This typically means that, at some point, the dependent variable (y) is zero for a negative value of the independent variable (x). In the context of a slope, a negative x-intercept can suggest that as the value of the independent variable decreases, the dependent variable changes in a way that leads to a negative relationship between the two.


How do you solve a quadratic equation on a TI-84?

Press MATH. Then go down to the last option, which says "Solver...". Press Enter. If you do not see "eqn:0=" then press the up arrow until you do. Now type your quadratic equation in. It will automatically be set equal to zero. (Use the button to the left of ALPHA for a variable, or use a capital letter as your variable(s). Put the cursor over the value next to the variable you want to solve for. Then press ALPHA and then SOLVE (the ENTER key. Notice that SOLVE is written in green above the ENTER key.) You will get an answer. Type in other values next to the variable to solve for other possible answers. You will normally get the answer closest to the one that is next to the variable before you press solve.


Why it is necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number Provide an example to support your explanation?

"&lt;" means "farther to the left on the number line " and "&gt;" means "farther to the right on the number line". Multiplying by a negative number switches the sign, which is a reflection that turns left into right. Double switch example: 1&lt;2 multiply this by (-2): -2&gt;-4 multiply this by (-1): 2&lt;4


Explain in your own words why it is necessary to reverse the inequality symbol when multiplying both sides of an inequality by a negative number Provide an example to support your explanation?

Think of a number line. The larger numbers are to the right and the smaller number to the left. For instance, five is less than seven. (5 &lt; 7). When you multiply by a negative number, then the numbe with the larger absolute value is on the left, and the number with the smaller absolute value is to the right. (-5 &gt; -7).

Related Questions

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How is graphing a two variable inequality similar to graphing a one variable inequality?

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How do you solve inequality 8x 16?

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When the variable is on the left of the inequality symbol is represented by an open circle and a ray going to the right?

how the hell should i know


How do you solve the inequality 12x plus 5 so that the variable Xis on the left side?

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Why it is necessary to reverse the inequality symbol when multiplying both side of an inequality by a negative number?

You need to reverse the inequality symbol when multiplying both sides of an inequality by a negative number because you are changing the sign of both sides of the equation. Since inequality, such as "less than", means "to the left of" on the number line (where left is minus and right is plus) then a number that is less than another will be greater than the other if the signs were reversed. Example: 3 is less than 4, but -3 is greater than -4.


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There are four steps in an algebraic elimination problem. These steps are: to find a variable with equal or opposite coefficients, if equal then subtract the equations but if opposite then add, solve one variable equation left, and then substitute known variable into other equation and solve. hi


What does it mean when the x intercept in a slope is negative?

When the x-intercept of a line has a negative value, it indicates that the line crosses the x-axis to the left of the origin (0,0). This typically means that, at some point, the dependent variable (y) is zero for a negative value of the independent variable (x). In the context of a slope, a negative x-intercept can suggest that as the value of the independent variable decreases, the dependent variable changes in a way that leads to a negative relationship between the two.


How do you solve a quadratic equation on a TI-84?

Press MATH. Then go down to the last option, which says "Solver...". Press Enter. If you do not see "eqn:0=" then press the up arrow until you do. Now type your quadratic equation in. It will automatically be set equal to zero. (Use the button to the left of ALPHA for a variable, or use a capital letter as your variable(s). Put the cursor over the value next to the variable you want to solve for. Then press ALPHA and then SOLVE (the ENTER key. Notice that SOLVE is written in green above the ENTER key.) You will get an answer. Type in other values next to the variable to solve for other possible answers. You will normally get the answer closest to the one that is next to the variable before you press solve.


Why must you flip the inequality symbol when you divide by a negative number?

For the same reason you must flip it when you multiply by a negative number. An example should suffice. 2 &lt; 3 If you multiply by -1, without switching the sign, you get: -2 &lt; -3, which is wrong. Actually, -2 &gt; -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 same as multiplying by the reciprocal, which in this case is also negative. These signs are strictly the "Greater than" and "Less than" signs. The inequality sign is an = with a / stroke through it. If you divide an inequality by -1 it remains an inequality.