x>5
Substitute the number in place of the variable, and see whether the inequality is then a true statement.
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.
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.
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.
An equation has an equal sign, which means that we know what the variable is equal to :)
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.
To isolate the variable in a multi-step inequality, start by simplifying the inequality as needed, such as distributing or combining like terms. Next, use inverse operations to eliminate any coefficients or constants attached to the variable, maintaining the inequality's direction (reversing it if you multiply or divide by a negative number). Finally, continue simplifying until the variable is alone on one side of the inequality. Always check your solution by substituting back into the original inequality.
By replacing a number for the variable.
b2.1 is an expression, not an inequality.
Any compound inequality, in one variable, can be graphed on the number line.
any number that makes the inequality true
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.)