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solve the inequality and enter your solution as an inequality comparing the variable to a number?
x + 8 > 13
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How do you decide if a number is a solution to the inequality?
Substitute the number in place of the variable, and see whether the inequality is then a true statement.
When can you say that a number is called a solution in algebraic expression?
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.
What is the number that can replace a variable?
Answer 1 == In an open sentence (an equation or inequality with a variable in it), when a number replacing the variable makes the sentence true, then it is a solution.
How can you check to see if a number is part of the solution set of an inequality?
You replace the variable by the number, do all specified calculations, and then check whether the resulting inequality is true or false. This is basically not very different from checking a solution of an equation.
Why do we represent the solution to an inequality with a graph on a number line but we don't do the same for the solution to an equation?
An equation has an equal sign, which means that we know what the variable is equal to :)
a number when substituded in to an open sentence makes a true statement?
An equation or an inequality that contains at least one variable is called an open sentence. ... When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
How can an inequality be checked?
By replacing a number for the variable.
Which number is a solution of the inequality b2.1?
b2.1 is an expression, not an inequality.
Which compound inequality is graphed on the number line?
Any compound inequality, in one variable, can be graphed on the number line.
What is the definition of a solution to an inequality?
any number that makes the inequality true
How do you know if a value is a solution for an inequality?
A number is called a "solution" for an inequality if, when you plug that number into the variable, the inequality becomes true. For example, 4 is a solution to the inequality "x + 5 < 10", because when you plug in 4 for x, you get "4 + 5 < 10", which is true. (4 plus 5 is 9, which is less than 10.) On the other hand, 6 is not a solution to the inequality "x + 5 < 10", because when you plug in 6 for x, you get "6 + 5 < 10", which is false. (6 plus 5 is 11, which isn't less than 10.)
Explain how solving -7y > 161 is different from solving 7y > -161?
Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y
