Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
6. Solve Inequalities by Addition or Subtraction
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Exercise 4 Page 501

m ≥ 1.6

Practice makes perfect
Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. Let's use the Subtraction Property of Inequality to solve the inequality.
3 ≤ m + 1.4
3 - 1.4≤ m + 1.4 - 1.4
1.6 ≤ m
m ≥ 1.6
The above tells us that all values of m that are greater than or equal to 1.6 will satisfy the inequality.

Checking Our Answer

Let's Check Our Answer!

We can check our solution by substituting a few values into the given inequality. The value satisfies the inequality if the inequality remains true after substituting and simplifying.

m 3 ≤ m + 1.4 Simplify True or False?
1.5 3 ≤ 1.5 + 1.4 3 ≰ 2.9 False
1.6 3 ≤ 1.6 + 1.4 3 ≤ 3 True
1.7 3 ≤ 1.7 + 1.4 3 ≤ 3.1 True

We can conclude that as long as m is greater than or equal to 1.6, the inequality is satisfied.