The answer choice which represents the solution to the inequality as given in the task content is; x>-2 or x≤ 1.
<h3>What is the solution of the give complex inequality?</h3>
On this note, it follows that the inequalities can be solved individually as follows;
-4 < 3x +2
-6 < 3x
x > -2
Also, 3x +2 ≤ 5
3x ≤ 3
x ≤ 1.
Ultimately, the correct answer choice is; Choice C; x>-2 or x≤ 1.
Read more on complex inequality;
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Answer:
The given system has NO SOLUTION.
Step-by-step explanation:
Here, the given system of equation is:
6 x - 2 y = 5 .......... (1)
3 x - y = 10 .... (2)
Multiply equation 2 with (-2), we get:
3 x - y = 10 ( x -2)
⇒ - 6 x + 2 y = - 20
Now, ADD this to equation (1) , we get:
6 x - 2 y - 6 x + 2 y = 5 - 20
or, 0 = - 15
WHICH IS NOT POSSIBLE as 0 ≠ -15
Hence, the given system has NO SOLUTION.
Answer:
<em>1</em><em>2</em>
Step-by-step explanation:
<em>here's</em><em> your</em><em> solution</em>
<em>=</em><em>></em><em> </em><em>area </em><em>of </em><em>rectangle</em><em> </em><em>=</em><em> </em><em>length</em><em>*</em><em>width</em>
<em>=</em><em>></em><em> </em><em>area </em><em>4</em><em>*</em><em>3</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>.</em><em>s</em><em>q</em><em>u</em><em>n</em><em>i</em><em>t</em>
<em>=</em><em>></em><em> </em><em>area </em><em>of </em><em>square</em><em> </em><em>=</em><em> </em><em>side^</em><em>2</em><em> </em>
<em>=</em><em>></em><em> </em><em>area </em><em>=</em><em> </em><em>1</em><em>.</em><em>s</em><em>q</em><em>u</em><em>n</em><em>i</em><em>t</em>
<em>=</em><em>></em><em> </em><em>Number</em><em> of</em><em> </em><em>square</em><em> </em><em>=</em><em> </em><em>area</em><em> of</em><em> rectangle</em><em>/</em><em>area</em><em> of</em><em> </em><em>square</em><em> </em>
<em>=</em><em>></em><em> </em><em>n</em><em>o </em><em>of </em><em>square</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>/</em><em>1</em>
<em> </em><em> </em><em>=</em><em>></em><em>. </em><em>1</em><em>2</em><em> </em>
Answer:
The correct option is:
The student should have switched the direction of the inequality sign to get –5> x for a final answer
Step-by-step explanation:
The students has made a mistake in the 3rd step.
We know that when we multiply or divide any negative number on both sides of the inequality, the sign of inequality reverse its direction.
In step 3 the student divided 25 by -5 but did not switch direction of the inequality sign.
Therefore the correct option is: The student should have switched the direction of the inequality sign to get –5> x for a final answer
