If we want to solve for or describe a region in a coordinate plane, we can use linear inequalities. Linear inequalities give us a set of solutions as opposed to just one solution. Solving linear inequalities uses similar methods as solving multi-step equations, except that there are extra rules when using multiplication and division. We graph linear inequalities by shading regions of number lines or coordinate planes.
Sample Problems (3)
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g(x) = 3[log3(5x − 1)]² + 1
Amount of radioactive material decays such that the amount remaining after time, t, is given by f(t) = 100 ⋅ 2-t grams.