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This can't be written any simpler. Any "x" that is smaller than "x" will be part of the solution set. Obviously there are infinitely many solutions.

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Q: What is the solution set for the inequality x less than w?
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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 &lt; 1 is a set of points in three dimensional space.


Is 4 part of the solution set for the inequality seven times w is less than or equal to twenty-eight?

The solution set for the equation 7 * w &lt;= 28 (where &lt;= means less than or equal to) with regard to the unknown variable w, is the set of numbers less than or equal to 4. So the answer is yes since 4 is less than or equal to 4, or simply yes since 7 * 4 = 28 which is smaller than or equal to 28.


What do you call a set with no solution?

A set would not normally have a solution. An equation or an inequality might.


What is the set of values for which an equation or inequality is true?

It is called the solution set.


How does solving linear inequality differ from solving linear equation?

Linear inequalities are equations, but instead of an equal sign, it has either a greater than, greater than or equal to, less than, or a less than or equal to sign. Both can be graphed. Solving linear equations mainly differs from solving linear inequalities in the form of the solution. 1. Linear equation. For each linear equation in x, there is only one value of x (solution) that makes the equation true. The equation: x - 3 = 7 has one solution, that is x = 10. The equation: 3x + 4 = 13 has one solution that is x = 3. 2. Linear inequality. On the contrary, a linear inequality has an infinity of solutions, meaning there is an infinity of value of x that make the inequality true. All these x values constitute the "solution set" of the inequality. The answers of a linear inequality are expressed in the form of intervals. The linear inequality x + 5 &lt; 9 has as solution: x &lt; 4. The solution set of this inequality is the interval (-infinity, 4) The inequality 4x - 3 &gt; 5 has as solution x &gt; 2. The solution set is the interval (2, +infinity). The intervals can be open, closed, and half closed. The open interval (1, 4) ; the 2 endpoints 1 and 4 are not included in the solution set. The closed interval [-2, 5] ; the 2 end points -2 and 5 are included. The half-closed interval [3, +infinity) ; the end point 3 is included.

Related questions

What is the solution set of the compound inequality x plus 1 is less than neg2x plus 11 is less than 3x plus 5?

This compound inequality cannot be solved.


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 &lt; 1 is a set of points in three dimensional space.


What is the solution set for 2x2 plus 2x plus 1?

There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.


What is the set of all numbers that make the inequality true?

It is the solution set for that particular inequality.


Is 4 part of the solution set for the inequality seven times w is less than or equal to twenty-eight?

The solution set for the equation 7 * w &lt;= 28 (where &lt;= means less than or equal to) with regard to the unknown variable w, is the set of numbers less than or equal to 4. So the answer is yes since 4 is less than or equal to 4, or simply yes since 7 * 4 = 28 which is smaller than or equal to 28.


What do you call a set with no solution?

A set would not normally have a solution. An equation or an inequality might.


What values are solution to the inequality of x if less than or equal to 5 squared?

We say a solution to an inequality f(x) &gt;= g(x) , is the set of all x such that the in equality is satisfied. It will look like this: For all x &gt;= (&lt;=) something, the condition is satisfied. Now, write your question out. x &lt;= 5^2 Looks like a solution to me.


What is a set of numbers that makes the equation or inequality true?

It is the solution set.


What is the set of values for which an equation or inequality is true?

It is called the solution set.


How does solving linear inequality differ from solving linear equation?

Linear inequalities are equations, but instead of an equal sign, it has either a greater than, greater than or equal to, less than, or a less than or equal to sign. Both can be graphed. Solving linear equations mainly differs from solving linear inequalities in the form of the solution. 1. Linear equation. For each linear equation in x, there is only one value of x (solution) that makes the equation true. The equation: x - 3 = 7 has one solution, that is x = 10. The equation: 3x + 4 = 13 has one solution that is x = 3. 2. Linear inequality. On the contrary, a linear inequality has an infinity of solutions, meaning there is an infinity of value of x that make the inequality true. All these x values constitute the "solution set" of the inequality. The answers of a linear inequality are expressed in the form of intervals. The linear inequality x + 5 &lt; 9 has as solution: x &lt; 4. The solution set of this inequality is the interval (-infinity, 4) The inequality 4x - 3 &gt; 5 has as solution x &gt; 2. The solution set is the interval (2, +infinity). The intervals can be open, closed, and half closed. The open interval (1, 4) ; the 2 endpoints 1 and 4 are not included in the solution set. The closed interval [-2, 5] ; the 2 end points -2 and 5 are included. The half-closed interval [3, +infinity) ; the end point 3 is included.


Which answers are elements of the solution set inequality?

dick


What are All points on a number line that represent the solution to an inequality?

solution set