Q15. Which of the following statement is true? < I. [p| + |q| = |p + q| when p ≥ 0 and q ≥ 0< II. |p − q | = |p| - lq| when p ≤ 0, q ≤ 0 and |p| ≥ |q|< -
Q15. Which of the following statement is true? < I. [p| + |q| = |p + q| when p ≥ 0 and q ≥ 0< II. |p − q | = |p| - lq| when p ≤ 0, q ≤ 0 and |p| ≥ |q|< -
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.1: Order Of Real Numbers
Problem 7OE
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![Q15. Which of the following statement is true? <
I. lpl + q = lp + q| when p > 0 and q ≥ 0<
II. |pq|lp|lq| when p ≤ 0, q ≤ 0 and p| ≥ |q|
=
III. p± q|≤|lp| - lal|
(a) I and II are correct
(b) II and III are correct
(c) I and III are correct
(d) all are correct](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55553b1c-ace7-4c62-b050-a6ee506743ba%2F66e06043-3b5d-480a-8553-e6e33c272e00%2Fll1jev7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q15. Which of the following statement is true? <
I. lpl + q = lp + q| when p > 0 and q ≥ 0<
II. |pq|lp|lq| when p ≤ 0, q ≤ 0 and p| ≥ |q|
=
III. p± q|≤|lp| - lal|
(a) I and II are correct
(b) II and III are correct
(c) I and III are correct
(d) all are correct
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