1) x < 4 the answer is <span> Option C: x E(-infinity,4) (it is strict)
2) </span>2x +6 < 8, and <span>2x < 8 - 6 = 2, and x<2/2=1
the answer is </span>
<span>D. x E (-infinity, 1)
</span>3) <span>X greater than or equal to 8 and x < - 4
</span>X greater than 8 means x ≥ 8
so we have x ≥ 8 and <span> x < - 4
so the answer is </span>
<span>B. x E (-4,8]
</span> 4)
7 > x + 6 or x -2 greater than or equal to 3,
<span>7 > x + 6 or x -2 ≥ 3
</span>
<span>7 -6> x, and 1>x
</span>
x -2 ≥ 3 x<span>≥ 3+2=5
finally
</span>x<1 and x≥5
the answer is
<span>C.x E (1,5]
5)
</span>
|x+3| > 12,
|x+3| = { -(x+3) if <span>x+3<0 or </span><span>(x+3) if </span><span>x+3>0}</span>
so, it is -(x+3)>12 is equivalent to (x+3)< -12 or (x+3)>12
the answer is
<span>B. x + 3 > 12 or x + 3 <-12</span>
Answer:
300+400+500=1200
Step-by-step explanation:
given total paid $2400
spend $1200 on a rent (half of his paid)
so rest he spend as a ratio of 3:4:5=1200
let x as a amount he using to pays rest of the bills so
3x+4x+5x=1200
12x=1200
x=1200/12
x=100
so he spends 3x=300
4x=400
5x=500
hope it helps you
mark as brain list
{ 8, -6 } as you multiply the first equation with 1.25 to get :
then, you use elemination by substraction to get rid of x:
try to solve for y to get y = -6, and then you use either equation 1 or 2 to find the value of x, which in both cases is equal to 8.
Answer:
D. 21
Step-by-step explanation:
28-21=7
28-7=21
A highway runs east-west between two towns C and B that are 25 km apart. Town A lies 15 km directly north from C. A straight road is built from A to meet the highway at D which is equidistant from A and B. Find position of D on the highway.
find distance AB
Using Pythagorian
AB^2 = 15^2+ 25^2
then find Point M which is midpoint of AB
AM=MB= 1/2 (AB)
now take a look at the right triangle ABC
tan(
