Write each word statement in symbols. See Example 5.
85.Fifteen is equal to five plus ten. 86.Twelve is equal to twenty minus eight.
87.Nine is greater than five minus four. 88.Ten is greater than six plus one.
89.Sixteen is not equal to nineteen. 90.Three is not equal to four.
91.One-half is less than or equal to two-fourths.
92.One-third is less than or equal to three-ninths.Write each statement with the inequality symbol reversed while keeping the same meaning.
See Example 6.
One way to measure a person’s cardiofitness is to calculate how many METs, or metabolic
units, he or she can reach at peak exertion. One MET is the amount of energy used when
sitting quietly. To calculate ideal METs, we can use the following expressions.
For women
For men(Source: New England Journal of Medicine.)
97.A 40-yr-old woman wishes to calculate
her ideal MET.
(a)Write the expression, using her age.
(b)Calculate her ideal MET. (Hint:Use
the rules for order of operations.)
(c)Researchers recommend that a person
reach approximately 85% of his or her
MET when exercising. Calculate 85%
of the ideal MET from part (b). Then
refer to the following table. What
activity can the woman do that is
approximately this value?14.7-age#0.11
14.7-age#0.13
5620 3079 2.5Ú1.3 4.1...5.3
SECTION 1.2 Exponents, Order of Operations, and Inequality 21
Activity METs Activity METs
Golf (with cart) 2.5 Skiing (water or downhill) 6.8
Walking (3 mph) 3.3 Swimming 7.0
Mowing lawn (power mower) 4.5 Walking (5 mph) 8.0
Ballroom or square dancing 5.5 Jogging 10.2
Cycling 5.7 Skipping rope 12.0
Source:Harvard School of Public Health.98.Repeat parts (a)– (c) of Exercise 97for a 55-yr-old man.
99.Repeat parts (a)– (c) of Exercise 97using your age.100.The table shows the number of pupils per teacher in
U.S. public schools in selected states.
(a)Which states had a figure greater than 13.9?
(b) Which states had a figure that was at most 14.7?
(c) Which states had a figure not less than 13.9?
Pupils per
State Teacher
Alaska 16.7
Texas 14.7
California 20.5
Wyoming 12.5
Maine 12.3
Idaho 17.8
Missouri 13.9
Source:National Center for
Education Statistics.