Solve the compound inequality. Then graph the solution set. s-2 <-10 or-3s < 6
1 answer:
Answer:
{s | s < -8 or s >= -2}
Step-by-step explanation:
In order to solve an inequality we simply have to isolate the variable by applying the opposite operations on each side.
s - 2 < -10 ... add 2 to both sides
s < -8
-3s <= 6 ... divide both sides by -3, since we are dividing a negative number you must flip the sign
x >= -2
Therefore the final answer would be {s | s < -8 or s >= -2} which is the 3rd graphed multiple choice answer as seen attached to this answer.
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Answer:
y = 3.33x - 18
Step-by-step explanation:
In order for a line to be perpendicular to another, it must have a slope with the negative reciprocal
- Here in the equation y = -0.3z + 6 has a slope of -0.3 (can also be written as
)
- A line that is perpendicular to this line will need to have a slope of 3.33 repeating (or
)
- I will using fractions for simplicity and convert to decimals afterwards
Since we have our slope and the two points, we can plug them into y = mx + b to solve for b and write our new equation of a line
- Substituting in the values that we have we get:
- Simplifying we get -8 = 10 + b, making b = -18
Now that we have our slope and our y-intercept we can plug them into the same formula used before to find our perpendicular line:
which can also be written as y = 3.33x - 18