Open circle on 4 and shaded to the left is the correct characteristics of the graph of
Option C is correct.
Step-by-step explanation:
We need to identify the characteristics of the graph of
The graph will contain all values that are less than 4.
4 is not included in the graph because we have less than sign and not less than equal to. So, an open circle will appear on 4.
All values less than 4 are on the left of 4, so shaded to the left of the graph.
The graph of is attached in the figure below.
So, open circle on 4 and shaded to the left is the correct characteristics of the graph of
Option C is correct.
Keywords: Solving inequalities
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Just substitute 32 for p in the equation
3(32)+2=m
96+2=m
M=98
Answer:
mulitply 2nd equation by 2
we will get
6x+6y=-10
6x-10y=-22
Subtract 2nd from 1 you will get value of y and out the value of y in 1st equation you'll get the value of x
Answer:
D
Step-by-step explanation:
x/15 = tan 30= 1/√3
x = 15/√3
Answer:
1. Incomplete
2. 8≥ 3 x + 5
⇒8-5≥3 x
⇒ 3 ≥ 3 x
Dividing both sides by 3
1≤ x or x ≥ 1 is the solution of above inequality.i.e x∈[1,0).
The solution of the above inequality is that x lies in the interval from 0 to 1 represented as 0≤x<1.
3. -2 x + 3 > 3(2 x - 1)
⇒ -2 x + 3> 3× 2 x - 3× 1 ⇒ [using distributive property which is a(b+c)=a×b + a× c]
⇒-2 x - 6 x > -3-3 →[ Bringing like terms together]
⇒ - 8 x > -6
Cancelling negative sign from both sides
if ,-a>-b, then a<b.
⇒8 x< 6
⇒x<6/8
⇒x<3/4
x∈(-∞,3/4)
The solution of the above inequality is x should be less than three by four.