Which of the following is the correct graph of the solution to the inequality −8 −5x + 2 > −38?
2 answers:
Answer:
x < 6.4
Step-by-step explanation:
given,
-8 - 5 x + 2 > -38
- 5 x - 6 > -38
adding both side by 6
- 5 x - 6 + 6 > -38 + 6
- 5 x > -32
multiplying both side by (-1)
5 x < 32
on multiplying by negative sign the inequality direction changes
x < 6.4
the graph is shown in the figure attached below. the shaded region shows the required area.
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We have
In order to obtain easily the table, we need to clear y
then we evaluate for values of x
if x=0
y=-4(0)+1=1
y=1
if x=1
y=-4(1)+1=-3
y=3
if x=2
y=-4(2)+1=-7
y=-7
if x=3
y=-4(3)+1=-11
y=-11
So the table for the given equation is
x y
0 1
1 -3
2 -7
3 -11