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What does a solution with all real numbers look like?
A solution with all real numbers indicates that the equation or inequality has no restrictions on its values, meaning any real number can satisfy it. Graphically, this is often represented as a horizontal line on a number line or as a shaded region extending infinitely in both directions. For example, the equation (x = x) or the inequality (x > -\infty) includes every possible real number as a solution. Essentially, it signifies that the solution set is the entire continuum of real numbers.
What are All points on a number line that represent the solution to an inequality?
solution set
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.
How can you tell whether the solution is an inequality?
That will all depend on what the question was!
What is the value of x if the inequality is 2x6?
Since it is an inequality, there is no way to solve for x. It equals all real numbers.
What does a solution with all real numbers look like?
A solution with all real numbers indicates that the equation or inequality has no restrictions on its values, meaning any real number can satisfy it. Graphically, this is often represented as a horizontal line on a number line or as a shaded region extending infinitely in both directions. For example, the equation (x = x) or the inequality (x > -\infty) includes every possible real number as a solution. Essentially, it signifies that the solution set is the entire continuum of real numbers.
What are All points on a number line that represent the solution to an inequality?
solution set
Can a quadratic inequality have a solution set that is all real numbers?
Yes. Consider x2 ≥ 0
Which number line correctly represents the solution to the inequality 3x 15?
The solution to the inequality 3x < 15 is x < 5. On a number line, this would be represented by an open circle at 5 with an arrow pointing to the left, indicating all real numbers less than 5. The number line would start at negative infinity and end at 5, with 5 not included in the solution set.
When we plot all the points that satisfy an equation or inequality what do we do?
We identify a set of points in the relevant space which are part of the solution set of the equation or inequality. The space may have any number of dimensions, the solution set may be contiguous or in discrete "blobs".
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.
How can you tell whether the solution is an inequality?
That will all depend on what the question was!
Which inequality has 20 as a solution?
To find the inequality with 20 as a solution, we can represent it as x > 20, x ≥ 20, x < 20, or x ≤ 20. The inequality x ≥ 20 would have 20 as a solution since it includes all values greater than or equal to 20. This means that any number equal to or greater than 20 would satisfy the inequality x ≥ 20.
Which is not a solution of the inequality y-1?
the number 1 is the only solution. y-1 = 0 1-1 = 0 every single number except 1 is not a solution your domian would equal D=All Reals (such that y is not equal to 1)
What is the set of all numbers that make the inequality true?
The set of all numbers that make an inequality true is known as the solution set. It consists of all the values of the variable that satisfy the given inequality. This set can be expressed using interval notation or set builder notation, depending on the context of the problem. The solution set is crucial in determining the range of values that satisfy the given conditions.
What is the value of x if the inequality is 2x6?
Since it is an inequality, there is no way to solve for x. It equals all real numbers.
Does checking just one inequality guarantee that a solution is correct?
Check all of the inequalities.
