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Q: If you multiply an inequality by a negative number when should you reverse the inequality symbol?

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When an inequality is multiplied or divided by a negative number the inequality sign is reversed.Example : -x < 7 ......after multiplying by (say) -2 this becomes 2x > -14

Change the direction of the inequality.

When an Inequality expression is multiplied (or divided) by a negative number then the Inequality sign is reversed. Example : -9x < 18 : -x < 2 : x > -2........as both sides have been multiplied by -1.

Just try it out! If 1 < 2, and you multiply both sides by -1, you get -1 ... -2. If you look at the numbers on a number line in standard position, you see that 1 is LEFT of 2 (and therefore less), while -1 is RIGHT of -2 (and therefore greater). So, -1 > -2 and the inequality sign has been reversed.

Flip. You need to reverse the inequality when multiplying or dividing by a negative. -2x < 10 (-1)*(-2x) < (-1)*10 2x > -10 x > -5

Related questions

The usual case is when you multiply or divide an inequality by a negative number.

negative flip

When solving an inequality, you must revers the inequality sign when you multiply (or divide) both sides by a negative number.

Treat it like a normal equation. Except if you divide/multiply by a negative number you reverse the inequality. That's basically it.

u only reverse the sign when u multiply or divide by a NEGATIVE number...otherwise u don't change the direction

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

Leave it alone. You cannot make an inequality into an equality by multiplying both sides of the inequation by the same number. If instead of the inequality sign you are using a lesser or greater than sign, however, you will need to reverse it if you multiply both sides by the same negative number, e.g. 10>4. If you multiply both sides by -2, you need to change the > into a <, so -20<-8

The inequality sign must be flipped.

When multiplying or dividing a negative number or variable.

Solve like any other math equation. One thing to remember; if you multiply or divide through by a negative number, reverse the inequality.

Inequalities are used to compare two expressions that are not equal. To solve inequalities, follow the same rules as equations (e.g. add, subtract, multiply, or divide both sides by the same number), but remember to reverse the inequality sign if you multiply or divide by a negative number. Graph the solution on a number line to represent the possible values that satisfy the inequality.

"<" means "farther to the left on the number line " and ">" 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<2 multiply this by (-2): -2>-4 multiply this by (-1): 2<4