Express the statement as an inequality. (a) x is negative. x > 0 x < 0 x = 0 x ≤ 0 x ≥ 0 (b) y is nonnegative. y = 0 y > 0 y ≤ 0 y < 0 y ≥ 0 (c) q is less than or equal to π. q = π q ≥ π q < π q > π q ≤ π
Express the statement as an inequality. (a) x is negative. x > 0 x < 0 x = 0 x ≤ 0 x ≥ 0 (b) y is nonnegative. y = 0 y > 0 y ≤ 0 y < 0 y ≥ 0 (c) q is less than or equal to π. q = π q ≥ π q < π q > π q ≤ π
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.8: Solving Absolute Value Equations And Inequalities
Problem 3E
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Express the statement as an inequality.
(a) x is negative.
x > 0
x < 0
x = 0
x ≤ 0
x ≥ 0
(b) y is nonnegative.
y = 0
y > 0
y ≤ 0
y < 0
y ≥ 0
(c) q is less than or equal to π.
q = π
q ≥ π
q < π
q > π
q ≤ π
(d) d is between 3 and 2.
2 < d < 3
d < 2 < 3
2 < 3 < d
2 ≤ d ≤ 3
3 ≥ d ≥ 2
(e) t is not less than 6.
t < 6
t ≤ 6
t > 6
t = 6
t ≥ 6
(f) The negative of z is not greater than 8.
−z ≤ 8
z ≤ −8
z ≤ 8
z < 8
−z < 8
(g) The quotient of p and q is at most 7.
p/q ≥ 7
p/q = 7
p/q ≤ 7
p/q < 7
p/q > 7
(h) The reciprocal of w is at least 9.
1/w = 9
1/w ≤ 9
1/w < 9
1/w > 9
1/w ≥ 9
(i) The absolute value of x is greater than 7.
|x| > 7
|x| = 7
|x| ≤ 7
|x| ≥ 7
|x| < 7
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