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Bezzdna [24]
3 years ago
10

Which of these integers is/are in the solution set of │5 – 5x│ < 10?

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

Answer:  {0, 1, 2}

<u>Step-by-step explanation:</u>

| 5 - 5x | < 10

The inside of the absolute value can be negative or positive, so we need to solve for both possibilities:

-(5 - 5x) < 10              +(5 - 5x) < 10

<em> Note: remember to swap the sign when dividing by a negative</em>

  5 - 5x > -10                 5 - 5x < 10  

<em>  </em>     -5x  > -15                    -5x < 5

         x   <  3                         x > -1  

                       -1 < x < 3

Graph:     -1 o·---------------o 3

The integers BETWEEN AND NOT INCLUDING  -1 and 3 are: {0, 1, and 2}


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The remaining elements if Venn diagram is  S= { 4, 9}

<h3>What is Venn diagram?</h3>

A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.

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brainly.com/question/1605100

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8 0
3 years ago
Read 2 more answers
Can some one help me wit this
Irina18 [472]
The answer is B, or y - 6 = 3/4 (x - 4). To put (-4, 6); m = 3/4 in point-slope form, you first start with the point-slope form equation which is y - k = m (x - h). The ordered pair that it wants you to put in is (-4, 6). To figure out where the ordered pair goes, you replace the variables (h, k) with (-4, 6). The h will always be the point on the
x-axis and the k will always will be the point on the y-axis. Putting these together, you now get y - 6 = m (x - 4). As the same in slope-intercept form, or y=mx+b form, the slope in this equation is m. In this equation, m = 3/4. So, the equation in point-slope form is y - 6 = 3/4 (x - 4).
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3 years ago
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