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When solving an inequality when do you reverse the inequality sign?
When you divide both sides by a negative value
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.
What is the value of x in the inequality 9x greater than 27?
Divide both sides by 9: 9x > 27 → x > 3
What is a value or values that make an inequality true?
a solution of inequality
When graphing inequalities when do you have a closed circle?
When the value indicated by the circle is a valid value for the inequality.
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.
When solving an inequality when do you reverse the inequality sign?
When you divide both sides by a negative value
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 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.
Which value satisfies the inequality -2x 8 5x 2x 1?
To solve the inequality (-2x + 8 < 5x + 2x + 1), first combine like terms on the right side: (5x + 2x = 7x). The inequality simplifies to (-2x + 8 < 7x + 1). Next, add (2x) to both sides, resulting in (8 < 9x + 1). Subtract (1) from both sides to get (7 < 9x), and then divide by (9) to find (x > \frac{7}{9}). Thus, any value greater than (\frac{7}{9}) satisfies the inequality.
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.
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 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
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
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.
