Question
Solve each inequality and graph the solution :
-0.3x<6.
Hint:
Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to solve the inequality and graph it.
The correct answer is: x<-20
Step 1 of 2:
Rearrange and solve the inequality;
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell negative 0.3 x less than 6 end cell row cell x less than fraction numerator 6 over denominator negative 0.3 end fraction end cell row cell x less than fraction numerator 60 over denominator negative 3 end fraction end cell row cell x less than negative 20 end cell end table](data:image/png;base64,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)
Step 2 of 2:
Graph the solution of the inequality;
![](data:image/png;base64,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)
When we have an inequality with the symbols< or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.
Related Questions to study
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
ii) BC || __
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)
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
ii) BC || __
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)
Solve each inequality and graph the solution :
5x+15≤-10
Note:
Whenever we use the symbol , we use the endpoint as well. So, we use complete line to graph the solution.
Solve each inequality and graph the solution :
5x+15≤-10
Note:
Whenever we use the symbol , we use the endpoint as well. So, we use complete line to graph the solution.
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
i) MQ || __
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)
MN, NQ and NQ are midsegments of △ ABC. Answer the following questions.
i) MQ || __
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)
Find AB if MN is the midsegment of △ ABC.
Find AB if MN is the midsegment of △ ABC.
In △ ABC, AB = 24, BC = 36, AC = 38
Find MN, NQ, and MQ.
![](data:image/png;base64,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)
In △ ABC, AB = 24, BC = 36, AC = 38
Find MN, NQ, and MQ.
![](data:image/png;base64,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)
Which of the following is the graph of the equation
in the x y -plane?
Note:
We can also use slope-intercept method to draw the graph if the given equation. Where we will first compare the given equation with standard equation . When we get the intercepts and slope, we can easily draw the graph.
Which of the following is the graph of the equation
in the x y -plane?
Note:
We can also use slope-intercept method to draw the graph if the given equation. Where we will first compare the given equation with standard equation . When we get the intercepts and slope, we can easily draw the graph.