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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 < 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 <= 28 (where <= 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.
Which answers are elements of the solution set inequality?
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