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When you divide or multiply both sides of an inequality by a negative number, the order of the values changes, which can reverse the relationship between them. For example, if ( a < b ) and you multiply both sides by -1, the inequality becomes ( -a > -b ). This flip is necessary to maintain the truth of the statement, ensuring that the inequality reflects the correct relationship after the operation. Thus, it's a mathematical rule that helps preserve the validity of the inequality.
What else can I help you with?
Do you only flip the inequality when you divide by a negative number?
Yes you do, you also flip the inequality sign if you multiply by a negative # The > and < 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.
If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?
negative flip
What is the inequality solution of -7b less than 49?
-7b < 49Remember, when dividing or multiplying by negative numbers, the sign of the inequality is flipped.Therefore:b > -7
Do the same rules apply when you solve equations and inequalities?
Almost. There's one new rule, which is that whenever you multiply or divide by a negative number, you have to flip the inequality sign. To see why, try achieving the same result without this step, using positive factors and subtraction: the equation must effectively flip itself around the sign.
How do you solve the inequality?
you cant with the information that you gave
Do you flip the inequality sign if the only the variable is negative?
No, you only flip the inequality sign if you are dividing by a negative number on both sides of the inequality
When do you flip the inequality sign?
You flip the inequality sign when you are dividing or multiplying both sides by a negative.You also flip the inequality sign when you "swap" the answers on both sides.The other time you flip the inequality sign is when raising both sides to a negative power. e.g. 5>4, but (5^-1)
When is the only time you flip an inequality sign?
When you divide both sides of an inequality by a negative number, the inequality sign flips.
Does an inequality change when you multiply by a negative?
Yes you have to flip the sign.
Do you only flip the inequality when you divide by a negative number?
Yes you do, you also flip the inequality sign if you multiply by a negative # The > and < 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.
If you multiply or divide both sides of an inequality by a number you need to reverse the inequality sign?
negative flip
When the inequality is multiplied both sides by a positive number what happens?
Nothing, you proceed as if the < or > was an =. If you're multiplying or dividing both sides by a negative, you flip the sign. e.g. < would go to >
Do you switch the sign when you multiply or divide an inequality?
Only when what you're multiplying by/dividing by is negative.
When do you flip less than greater than sign?
When dividing by negative numbers or dividing by fractions.
Do you flip the sign of this inequality 8x plus 4y12?
Only when you multiply or divide by a negative number
When do you have to flip the greater than or less than or equal to sign in a inequality equation?
You need to flip the inequality sign when you multiply or divide both sides of the inequality by a negative number. For example, if you have an inequality like ( -2x < 6 ) and you divide by -2, it becomes ( x > -3 ). However, when adding or subtracting a number from both sides, the inequality sign remains unchanged.
What is the inequality solution of -7b less than 49?
-7b < 49Remember, when dividing or multiplying by negative numbers, the sign of the inequality is flipped.Therefore:b > -7
