This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3
Second part: when (6x + 2) is negative.
-(6x + 2) < 10 Divide both sides of inequality by -1 and change the sign.
(6x + 2) > -10
6x + 2 > -10
6x > -10 - 2
6x > -12 Divide both sides by 6.
x > -12/6
x > -2.
Combined solution: x < 4/3 and x > -2
-2 < x < 4/3.
Graph is a line on the number line between -2 and 4/3.
-2 and 4/3 are excluded from solution.
Answer:
somewhere between them i think
Step-by-step explanation:
Let x represent the smallest angle. Then the largest is 3x, and the remaining angle is 180-4x. The problem statement tells us
.. 3x > 180 -4x > x
Adding 4x gives us
.. 7x > 180 > 5x
or
.. 36 > x > 180/7 = 25 5/7
The angles, smallest to largest, are
.. x, 4(45 -x), 3x
where 25 5/7 < x < 36
The angles could be, for example, any of ...
.. 26°, 76°, 78°
.. 30°, 60°, 90°
.. 32°, 52°, 96°
.. 35°, 40°, 105°
and an infinite number of other possibilities.
Answer:
(2P + G) feet/min
Step-by-step explanation:
Speed of the panda = P
Speed of the giraffe = P + G
Thus,
Speed of Panda + Speed of Giraffe = approaching time
= P + P + G
= <u>2P + G</u>
Thus, The panda and the giraffe are approaching each other at a rate
of <u>(2P + G) ft/min</u>
<u></u>
<em>Hope it helps :)</em>
Let the no. be x
A/Q
=> 36 × x /100 = 18
=> x = 18 × 100 / 36
=> x = 50
