Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
2. Solving Inequalities Using Addition or Subtraction
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Exercise 22 Page 65

Remember that at least is represented by ≥.

Inequality: n-3≥-5
Solution: n≥-2

Practice makes perfect

To write a verbal inequality in algebraic terms, we will start by identifying the inequality symbol we need to use and placing it in the center of our statement. In this case, we have at least, which is represented by the symbol ≥. ... ≥ ... On the left-hand side of the inequality we have a number minus 3, which we will express as a difference. n - 3 ≥... On the right-hand side of the inequality, we have -5. We can now form our final answer. A number minus 3 is at least -5 n - 3 ≥ -5

Now we can solve for n.

n-3≥-5
n-3+3≥-5+3
n≥-2

All real numbers greater than or equal to -2 will satisfy this inequality.