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How do you write and solve an absolute value inequaolity?
To write and solve an absolute value inequality, start by expressing the inequality in the form |x| < a or |x| > a, where a is a positive number. For |x| < a, split it into two inequalities: -a < x < a. For |x| > a, split it into two separate inequalities: x < -a or x > a. Finally, solve each inequality to find the solution set and represent it using interval notation or a number line.
Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?
-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"
How do you solve a linear equation of an inequality or equation?
To solve a linear equation or inequality, first isolate the variable on one side of the equation or inequality. For an equation, use operations like addition, subtraction, multiplication, or division to simplify until the variable is alone (e.g., (ax + b = c) becomes (x = (c-b)/a)). For an inequality, follow similar steps but remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or as a graph on a number line, depending on the context.
How do you solve multi-step inequality word problems?
To solve multi-step inequality word problems, start by carefully reading the problem to identify the variable, the inequality relationship, and any constants involved. Next, translate the written expressions into mathematical inequalities. Then, isolate the variable by performing inverse operations, ensuring to reverse the inequality sign when multiplying or dividing by a negative number. Finally, express the solution in interval notation or graph it on a number line, as needed, to convey the range of values that satisfy the inequality.
How do you solve inequality and graph them?
Get the variables on one side of the inequality sign, and the numbers on the other side. You do this by using inverse operations. Divide the number by the variable. If you divide using a negative number you flip the inequality sign. An example of what you are looking at should look like x > 3. You would graph this example by drawing a number line, then putting an open cirlce at three, and shading the number line on the right side of the three. This shows that x is greater than three.
How do you solve 6.021023?
6.021023 is a single number: not an equation or inequality. You cannot solve a single number!
How do you write and solve an absolute value inequaolity?
To write and solve an absolute value inequality, start by expressing the inequality in the form |x| < a or |x| > a, where a is a positive number. For |x| < a, split it into two inequalities: -a < x < a. For |x| > a, split it into two separate inequalities: x < -a or x > a. Finally, solve each inequality to find the solution set and represent it using interval notation or a number line.
Which compound inequality is graphed on the number line?
Any compound inequality, in one variable, can be graphed on the number line.
Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?
-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"
solve the inequality and enter your solution as an inequality comparing the variable to a number?
x>5
How do you solve an inequality when using the distributive property?
You solve an inequality in the same way as you would solve an equality (equation). The only difference is that if you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign. Thus, if you have -3x < 9 to find x, you need to divide by -3. That is a negative number so -3x/(-3) > 9/(-3) reverse inequality x > -3
How do you solve multi-step inequality word problems?
To solve multi-step inequality word problems, start by carefully reading the problem to identify the variable, the inequality relationship, and any constants involved. Next, translate the written expressions into mathematical inequalities. Then, isolate the variable by performing inverse operations, ensuring to reverse the inequality sign when multiplying or dividing by a negative number. Finally, express the solution in interval notation or graph it on a number line, as needed, to convey the range of values that satisfy the inequality.
How do you solve a linear equation of an inequality or equation?
To solve a linear equation or inequality, first isolate the variable on one side of the equation or inequality. For an equation, use operations like addition, subtraction, multiplication, or division to simplify until the variable is alone (e.g., (ax + b = c) becomes (x = (c-b)/a)). For an inequality, follow similar steps but remember to reverse the inequality sign if you multiply or divide by a negative number. Finally, express the solution in interval notation or as a graph on a number line, depending on the context.
How do you solve inequality and graph them?
Get the variables on one side of the inequality sign, and the numbers on the other side. You do this by using inverse operations. Divide the number by the variable. If you divide using a negative number you flip the inequality sign. An example of what you are looking at should look like x > 3. You would graph this example by drawing a number line, then putting an open cirlce at three, and shading the number line on the right side of the three. This shows that x is greater than three.
How can we determine inequality using position on a number line?
butts
Solve this inequality 3p- 16 21?
This is not an inequality. There is no <,>, or = sign.
What is the similarities of solving equations and inequalities?
You solve an inequality in exactly the same was as you solve an equation, by doing the same thing to both sides. The only difference is if you multiply/divide by a negative number, when you have to turn the inequality around.
