Question

•How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a solution to both the equation and inequality?

Answer 1

depends on the type of inequality. if you make it a non-strict inequality a solution/number can satisfy both the equation and the inequality.

this is a strict \[\ge \le\] are the non-strict inequalities

Answer 2

if it doesn't have the line under it then there will never a number that satisfies both the equality and inequality.

Answer 3

How is this different from determining if a value is a solution to an equation?

Answer 4

There is no difference. A point is a solution to an inequality (or an equation) if that point satisfies the inequality (or equation). Put differently, plug the value into the equation (or inequality). If you get a true statement, then that point is a solution to the equation (or inequality).