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What happens if you add or subtract a value to both sides of an inequality?
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.
-5x 4 greater than -2x 31?
-5x + 4 > -2x + 31 add 2x and subtract 4 to both sides; -3x > 27 divide by -3 to both sides and change the symbol of the inequality; x < 9
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.
Simplify the following expression 33z-4-20 z-5?
I am assuming that the original equation is 33z-4-20=z-5. Subtract z from both sides. Add 4 to both sides, as well as add 20 to both sides. Divide both sides by 32.
What it 2t-6 equals 3-t?
2t-6=3-t 3t-6=3 Add t to both sides 3t=9 Add 6 to both sides t=3 Divide both sides by 3
What happens if you add or subtract a value to both sides of an inequality?
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.
Why do the inequality signs stay the same?
Inequality signs stay the same when you add or subtract the same value from both sides of an inequality because this operation does not change the relative sizes of the quantities. For example, if ( a < b ) and you add ( c ) to both sides, it remains ( a + c < b + c ). However, if you multiply or divide both sides by a negative number, the inequality sign must be flipped to maintain the correct relationship.
What are the solutions to the inequality 11x-2 4?
To solve the inequality (11x - 2 < 4), first, add 2 to both sides to get (11x < 6). Next, divide both sides by 11, resulting in (x < \frac{6}{11}). Therefore, the solution to the inequality is (x < \frac{6}{11}).
What i the solution to this inequality x- 25 is less than or equal to 33?
Just add 25 to both sides of the inequality - that way, you will isolate the "x", i.e., solve for "x".
What is the solution of the inequality of 3a-2 is greater than 5a-9 clearly showing details of your work?
3a-2 > 5a-9 Subtract 5a from both sides: -2a-2 > -9 Add 2 to both sides: -2a > -7 Divide both sides by -2 and reverse the inequality sign: Solution: a < 3.5 on the number line
What is the inequality to 7n-9 is less than 47?
You would add 9 to both sides, canceling out the 9 on the left. Now you have 7n
What is the solution to this inequality x- 25 is less than or equal to 33?
Add 25 to both sides to give x ≤ 58
What three actions can cause the direction of an inequality symbol to change?
The direction of an inequality symbol can change when you multiply or divide both sides of the inequality by a negative number, which reverses the inequality. Additionally, if you add or subtract a term that is common on both sides without affecting the inequality's balance, the direction remains unchanged. However, if the operation involves terms that can alter the order of values, such as modifying a variable's sign, the direction may also change.
What are the properties in solving equations and inequations?
You can add, subtract, multiply, or divide both sides of the equation or inequality by the same number. Don't multiply or divide by zero. In the case of an inequality, if you multiply or divide by a negative number, the sign of the inequality must be reversed. E.g., if you multiply both sides by -2, a "less-than" sign should be replaced by a "greater-than" sign.
What is the solution to -4x-7 greater than 5?
To solve the inequality (-4x - 7 > 5), first add 7 to both sides to get (-4x > 12). Next, divide both sides by -4, remembering to reverse the inequality sign, resulting in (x < -3). Thus, the solution is (x < -3).
What is the inequality of 5n-1 greater or equal to 6?
5n - 1 ≥ 6 Add 1 to both sides: 5n ≥ 7 Divide both sides by 5: n ≥ 7/5 = 1.4
Create an inequality that would take at least 2 steps to solve that would give you the following solution?
To create an inequality that takes at least two steps to solve with the solution ( x < 5 ), you can use the following inequality: ( 3x - 7 < 8 ). To solve it, first add 7 to both sides to get ( 3x < 15 ), and then divide both sides by 3 to arrive at ( x < 5 ).
