Question

Write each statement in terms of inequalities. (a) x is positive. (b) t is less than 3. (c) a is greater than or equal to ?. (d) x is less than $\frac{1}{4}$ and is greater than $-8$. $-8 < x < \frac{1}{4}$ $-8 \le x \le \frac{1}{4}$ $\frac{1}{4} < x < -8$ $\frac{1}{4} \le x \le -8$ none of these (e) The distance from p to 2 is at most 3. $|p + 2| \le 3$ $|p - 2| \le 3$ $|p + 2| \ge 3$ $|p - 2| \ge 3$ none of these

          Write each statement in terms of inequalities.
(a) x is positive.
(b) t is less than 3.
(c) a is greater than or equal to ?.
(d) x is less than $\frac{1}{4}$ and is greater than $-8$.
$-8 < x < \frac{1}{4}$
$-8 \le x \le \frac{1}{4}$
$\frac{1}{4} < x < -8$
$\frac{1}{4} \le x \le -8$
none of these
(e) The distance from p to 2 is at most 3.
$|p + 2| \le 3$
$|p - 2| \le 3$
$|p + 2| \ge 3$
$|p - 2| \ge 3$
none of these

Write each statement in terms of inequalities.
(a) x is positive.
(b) t is less than 3.
(c) a is greater than or equal to ?.
(d) x is less than (1)/(4) and is greater than -8.
-8 < x < (1)/(4)
-8 ≤ x ≤(1)/(4)
(1)/(4) < x < -8
(1)/(4)≤ x ≤ -8
none of these
(e) The distance from p to 2 is at most 3.
|p + 2| ≤ 3
|p - 2| ≤ 3
|p + 2| ≥ 3
|p - 2| ≥ 3
none of these

Added by Agust-N M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Ankit Gupta

07/22/2020

Step 1

Step 1: The statement "x is positive" means that x is greater than 0. Show more…

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Write each statement in terms of inequalities. (a) x is positive. (b) t is less than 3. (c) a is greater than or equal to π. (d) x is less than $\frac{1}{4}$ and is greater than -8. -8 < x < $\frac{1}{4}$ -8 ≤ x ≤ $\frac{1}{4}$ $\frac{1}{4}$ < x < -8 $\frac{1}{4}$ ≤ x ≤ -8 none of these (e) The distance from p to 2 is at most 3. |p + 2| ≤ 3 |p - 2| ≤ 3 |p + 2| ≥ 3 |p - 2| ≥ 3 none of these