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What happens to the inequality sign when you divide by a negative integer?
When you divide or multiply both sides of an inequality by a negative integer, the inequality sign must be reversed. For example, if you have the inequality (a < b) and you divide both sides by a negative number, the resulting inequality will be (a / (-n) > b / (-n)), where (n) is a positive integer. This reversal is necessary to maintain the truth of the inequality.
If both sides of an inequality are multiplied of divided by the same positive number the direction of the inequality symbol is?
If both sides of an inequality are multiplied or divided by the same positive number, the direction of the inequality symbol remains the same. For example, if you have ( a < b ) and you multiply both sides by a positive number ( c ), the inequality remains ( ac < bc ). This property holds true for all positive numbers, ensuring the relationship between the two sides is preserved.
Does positive number become negative when it crosses the inequality symbol?
Yes.
When you multiply both sides of an inequality by a number that is?
When you multiply both sides of an inequality by a positive number, the direction of the inequality remains unchanged. However, if you multiply both sides by a negative number, the direction of the inequality must be reversed. This is crucial to maintain the truth of the inequality. Always be mindful of the sign of the number you are multiplying by.
Why is one quarter of 12 greater than one quarter of 8?
12 is greater than 8 Multiplying the inequality by any positive number leaves the inequality unchanged. In this case, the positive number is 1/4
If both sides of an inequality are multiplied of divided by the same positive number the direction of the inequality symbol is?
If both sides of an inequality are multiplied or divided by the same positive number, the direction of the inequality symbol remains the same. For example, if you have ( a < b ) and you multiply both sides by a positive number ( c ), the inequality remains ( ac < bc ). This property holds true for all positive numbers, ensuring the relationship between the two sides is preserved.
Does positive number become negative when it crosses the inequality symbol?
Yes.
Why is one quarter of 12 greater than one quarter of 8?
12 is greater than 8 Multiplying the inequality by any positive number leaves the inequality unchanged. In this case, the positive number is 1/4
When solving an inequality you must reverse the order of the inequality whenever you multiply both sides of the inequality by any number.?
You only need to reverse the order of the inequality when multiplying or dividing both sides by a negative number. If you multiply or divide by a positive number, the order of the inequality remains the same. This is crucial to maintain the truth of the inequality. Always be cautious about the sign of the number you are using in these operations.
What number is n in algebra?
The whole point of using n in algebra is that it stands for an unspecified number. Until you have an equation (or inequality) that involves n and solve it for a value of n.
Choose a nonzero integer for n to show -n can be evaluated as a positive number?
Choose a nonzero integer for n to show -n can be evaluated as a positive number?
What is a number plus 2 is at most 1?
It is the inequality: N + 2 <= 1.
To find the positive number using if in c?
if (n>0) printf ("%d is positive\n", n);
What happens to the inequality symbol when you subtract a negative number?
The inequality symbol doesn't change direction in this case.Note that that is the same as adding a positive number.Note also that if you MULTIPLY or DIVIDE by a negative number, then you need to change the direction of the inequality symbol.
What is Twelve is greater than or equal to five times a number n?
The inequality "Twelve is greater than or equal to five times a number n" can be expressed mathematically as ( 12 \geq 5n ). To solve for ( n ), you can rearrange the inequality to find that ( n \leq \frac{12}{5} ) or ( n \leq 2.4 ). This means that the value of ( n ) must be less than or equal to 2.4 for the inequality to hold true.
Is negative n always sometimes or never a positive number?
Sometimes.* If "n" is positive, "-n" is negative. * If "n" is negative, "-n" is positive. * If "n" is zero, "-n" is also zesro.
What is the additive inverse of the real number represented by n?
That would be -n. Note that if n is positive, -n is negative, whereas if n is negative, -n will be positive.
