Exercise 69 Page 303

Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. The only difference is that when you divide or multiply by a negative number, you must reverse the inequality sign.

3 \geq 4 - m

AddIneq

$LHS + m \geq RHS + m$

3 + m \geq 4

SubIneq

$LHS - 3 \geq RHS - 3$

m \geq 1

This inequality tells us that all values greater than or equal to

1

will satisfy the inequality. Knowing this, let's write the solution set.