Answer:
x ≥ 6; see below for a graph
Step-by-step explanation:
First inequality
7x -6 > 8
7x > 14 . . . . . . add 6
x > 2 . . . . . . . .divide by 7
Second inequality
3x+4 ≥ 22
3x ≥ 18 . . . . . . subtract 4
x ≥ 6 . . . . . . . . divide by 3
The values of x that will satisfy both inequalities are x ≥ 6. (All of those values are > 2.)
The solution to the inequalities is x ≥ 6.
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Your graph will have a solid dot at x=6, indicating 6 is part of the solution set. It will be shaded to the right, with an arrow at the right end.
Answer:
Example 2 Solve for x and check: - 3x = 12. Solution. Dividing each side by -3, we obtain ... At this point we note that since we are solving for c, we want to obtain c on one side ... Example 7 Graph x > -5 on the number line.
Step-by-step explanation:
Answer:
A' = (5,7)
Step-by-step explanation:
So, we start with the original point A at (3,1), that means x = 3 and y = 1.
We move it 2 units to the right... so we're moving along the X-axis... and we're moving to the right.. so we're increasing the value of x. That means starting with x = 3, we go 2 more units... we then get to x = 5.
In the same way, we move 6 units up... so we move along the Y-axis. We go up, so we also increase the value of y. Starting with y = 1, we move up by 6 units... so we are now at y = 7.
A' point is then at (5,7).
Answer:
6x/4-24=x-2
6x/4-24/1=x-2
(6x/4)1-(24/1)4=x-2
6x/4-96/4=x-2
(6x-96)/4=(x-2)/1
Then cross multiply to get this;
(6x-96)1=(x-2)4
6x-96=4x-8
6x-96+96=4x-8+96
6x=4x+88
6x-4x=4x-4x+88
2x=88
Divide both sides by 2
2x÷2=88÷2
x=44
Thank you.
BY GERALD GREAT.