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Is the solution to a quadratic inequality in one variable always a compound inequality?
Wiki User
∙ 11y ago
Yes - except in extreme cases.
It can be the whole of the Real Numbers: eg x2 > -3
It can be a single point eg x2 ≤ 0 gives x = 0
Wiki User
∙ 11y ago
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How do you tell a linear inequality from a quadratic inequality?
In a linear inequality the variable is only present raised to the first power (which is usually not explicitly shown). In a quadratic the square of the variable is present (or implied). The square can be implied in an inequality such as x + 1/x < 6 (x not 0) This is equivalent to x2 - 6x + 1 < 0
Are there no real solutions if a quadratic function is 0?
If a quadratic function is 0 for any value of the variable, then that value is a solution.
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 many solution does a linear inequality in one variable have?
Inequalities tend to have infinitely many solutions.
The solutions to a linear inequality are the points in the plane that make the inequality true?
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
Solve the inequality and enter your solution as an inequality comparing the variable to the solution -3 plus x10?
Solve the inequality and enter your solution as an inequality comparing the variable to the solution. -33+x<-33
How do you tell a linear inequality from a quadratic inequality?
In a linear inequality the variable is only present raised to the first power (which is usually not explicitly shown). In a quadratic the square of the variable is present (or implied). The square can be implied in an inequality such as x + 1/x < 6 (x not 0) This is equivalent to x2 - 6x + 1 < 0
Which compound inequality is graphed on the number line?
Any compound inequality, in one variable, can be graphed on the number line.
Are there no real solutions if a quadratic function is 0?
If a quadratic function is 0 for any value of the variable, then that value is a solution.
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.
solve the inequality and enter your solution as an inequality comparing the variable to a number?
x>5
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 many solution does a linear inequality in one variable have?
Inequalities tend to have infinitely many solutions.
Can you solve for a variable in an expression?
No, you can only simplify an expression. To solve for a variable, it must be in an equation.
How can you tell whether an absolute value inequality is equivalent to a compound inequality with the word and or to a compound inequality with the word or?
Good question.Think about lxl > 3: x can be >3 or goes with or. < goes with and.
The solutions to a linear inequality are the points in the plane that make the inequality true?
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
