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The direction of the inequality remains unchanged. The direction changes when you divide or multiply both sides by a negative number. It also changes if both sides are raised to a negative exponent.

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โˆ™ 2012-07-27 18:42:07
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Q: What happens if you add or subtract a value to both sides of an inequality?
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Related questions

When solving an inequality when do you reverse the inequality sign?

When you divide both sides by a negative value

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 do you solve an inequality with fractions and variables on both sides?

You solve an inequality the same way you solve an equality. You add and subtract, multiply and divide, both sides by the same value in order to isolate one of the variables. The only extra thing you need to remember is that if you multiply or divide by a negative number, you must reverse the order of the inequality, i.e. less than or equal becomes greater than or equal.

When a quantity is added to or subtracted from both sides of an inequality the resulting inequality will have the same direction as the original one?

When a quantity is subtracted or added from both sides of an inequality, the true difference in value is varied thereby changing the direction of the inequality, but when rather than subtracted or added it is multiplied or divided, it preserves the true difference in value thereby facing the same direction as the initial inequality.

Can you provide me with an inequality problem that the value is the same?

Can you provide me with an inequality problem that the value is the same?

What does absolute value inequality mean?

It is an equation used to anwer an absolute value inequality.

What is a value or values that make an inequality true?

a solution of inequality

What is the value of x in 6 plus 2x equals x - 6?

6 + 2x = x - 6 Subtract x from both sides: 6 + x = -6 Subtract 6 from both sides: x = -12

How do you solve the inequality x plus 6 divided by 4 is greater than or equal to 2?

(X+6)/4 >= 2 First, remove the fraction on the left side by multiplying both sides by four X+6 >= 8 Subtract 6 from both sides to get your X value X >= 2

What is the value of m in the inequality?


Why do you subtract to find the range?

The range is the distance from the smallest value to the largest value. This is equivalent to the largest value MINUS the smallest value. Therefore you subtract.

Find the numerical value of an expression?


8a - 9 equals 7a - 6?

Obviously, a=3 To show... Simultaneously subtract the smaller variable on the right side (7a) from both sides and the lesser constant on the left side (-9) from both sides (subtracting a negative means to add a positive), or in other words... Subtract 7a from and add 9 to both sides to instantly force the value of 'a'... (1)a = 3 There, you have your answer... a=3

What is the value of y 6y plus 22 equals 4y-42?

y = -32 6y + 22 = 4y - 42 subtract -4y from both sides 2y + 22 = -42 subtract 22 from both sides 2y = -64 Divide both sides by 2 to get y by itself y= -32

What is the value of x if the inequality is 2x6?

Since it is an inequality, there is no way to solve for x. It equals all real numbers.

Is there ever a time when the same value will be a solution for both the equation and the inequality?

Yes, but only when the inequality is not a strict inequality: thatis to say it is a "less than or equal to" or "more than or equal to" inequality. In such cases, the solution to the "or equal to" aspect will satisfy the corresponding inequality.

What is the value for 3a plus 2 equal a - 6?

You need to solve for a by getting it by itself. You do this by performing the same operation on both sides of the equation 3a + 2 = a -6 subtract 2 from both sides: 3a = a -8 subtract a from both sides: 2a = -8 divide both sides by 2: a = -4

What is the value of x in the inequality 9x greater than 27?

Divide both sides by 9: 9x > 27 → x > 3

When graphing inequalities when do you have a closed circle?

When the value indicated by the circle is a valid value for the inequality.

What is the value of x if 8x plus 7 equals 55?

8x + 7 = 55 Subtract 7 from both sides: 8x = 48 Divide both sides by 8: x = 6

If 8p equals 3p plus 25 what is the value of p?

8p = 3p + 25 Subtract 3p from both sides: 5p = 25 Divide both sides by 5: p = 5

How does understanding place value help you to subtract across zeros?

Understanding place value helps me to subtract across zeros by putting a \ on it

y 7x plus 10 and you know that y 3 What is the value of x?

The equation y = 7x + 10 can be solved when we know that y = 3. Using basically algebra, the value of x can be determined, which is -1. Simply subtract 10 from both sides of the equation and then divide both sides by 7.

When graphing a linear inequality what does a dashed boundary line indicate?

It means that the inequality is less than the value of the dashed line and is not equal to it.

What is the value of j in the inequality 4j - 7 greater than 4j - 7?

I think you have entered the inequality wrong. You have: 4j - 7 > 4j - 7 but that is saying that something is greater than itself as both sides of the greater than sign are the same expression.

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