-3(2/5x-2)=18
multiply -3 by 2/5 and my -2
-6/5x + 6 = 18
subtract 6 from each side
-6/5x = 12
divide by -6/5, multiply 12 by -5/6
x = -10
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➷ The correct inequality would be B.
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Answer:
Step-by-step explanation:
To solve this inequality, we have to find x (or make x the subject of the inequality:
since ⁻ˣ/₃ ≤ 6 [multiply both sides by 3]
- x ≤ 18 [multiply both sides by -1; this flips the inequality sign]
<h3> x ≥ - 18 [this is the solution]</h3><h3 />
To graph the inequality, draw the line x = - 18 with a solid line, and then shade the region that is x > -18.
We use a solid line because the point x = -18 is included. However, hypothetically, if the inequality was x > -18 only, a broken line would be used to show that the line x = -18 is not included.
The vertical asympote is the value of x that makes the denominator equal to zero:
x+5=0
Solving for x:
x+5-5=0-5
x=-5
The vertical asymptote is x=-5
Answer: Option A. x=-5