A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality. Example: Solve 2x + 3 ≤ 7, where x is a natural number.Click to see full answer. Consequently, what is a solution set for an equation?Solving Equations by Plugging in Values. A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.Likewise, how do you describe a solution set in words? The solution set of an equation written with only one variable is the set of all values one can assign to that variable to make the equation a true statement. Any one of those values is said to be a solution to the equation. In this way, can a solution set be one number? For the two equations we looked at above here are the solution sets. For inequalities we have a similar notation. Depending on the complexity of the inequality the solution set may be a single number or it may be a range of numbers. If it is a single number then we use the same notation as we used for equations.How do you write a solution in interval notation?For example, the solution 3 < x < 5 is written (3,5) in interval notation, because x cannot be equal to 3 or 5. Express your answers in interval notation by graphing the solution on a number line to determine the upper and lower bounds of the variable. Determine the values of the variable that make the inequality true.
What is a solution set for an equation or inequality?
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