Write a compound inequality to represent all of the numbers between -4 and 6. Help me please
2 answers:
Answer:
-4 < x < 6
Step-by-step explanation:
We need to represent all the numbers between -4 and 6, that is -3, -2, -1, 0, 1, 2, 3, 4 and 5.
They are all greater than -4. We generalize it as -4 < x (x is greater than -4).
On the other hand, 6 is greater than all of them, that is x < 6.
As we need to write it as a compound inequality, we just combine the two inequalities we have:
-4 < x < 6 (we write the x just once)
If we want to add the -4 and the 6 in the inequality, we just include them with the appropriate sign:
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Answer:
Skiing costs $30 per hour and Boating costs $51 per hour.
Step-by-step explanation:
Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.
<em><u>"John paid $222 for four hours of skiing and two hours boating":</u></em>
<em><u>"He paid $213 for two hours skiing and three hours boating":</u></em>
<em>Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y</em>. Work shown below.
Hence, y = 51
<em>Now, substituting this y value into the 1st equation and solving for x will give us the value of x.</em>
Hence, skiing costs $30 per hour and boating costs $51 per hour.