anonymous
  • anonymous
Choose the true statement about the graph of x < 4. closed circle on 4 and all numbers to the left shaded open circle on 4 and all numbers to the right shaded open circle on 4 and all numbers to the left shaded
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
closed circle on 4 and all numbers to the left shaded
UsukiDoll
  • UsukiDoll
while the left shaded part is true. If we have a > or < sign, it should be an open circle
UsukiDoll
  • UsukiDoll
should we have a \[\leq \] or \[\geq \] we have a closed circle. I don't see those signs for x<4

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anonymous
  • anonymous
and if they give that like this Choose the true statement about the graph of 3x ≥ 6. closed circle on 2 and all numbers to the right shaded closed circle on 2 and all numbers to the left shaded open circle on 2 and all numbers to the right shaded open circle on 2 and all numbers to the left shaded
UsukiDoll
  • UsukiDoll
for that question, solve the inequality first. then since you have a \[\geq \] we have a closed circle
UsukiDoll
  • UsukiDoll
and graph according to the point of the symbol
UsukiDoll
  • UsukiDoll
for example if I want to graph x < 2 on a number line |dw:1437999382990:dw|
anonymous
  • anonymous
so it will be the second one
UsukiDoll
  • UsukiDoll
|dw:1437999408835:dw|
UsukiDoll
  • UsukiDoll
no.... not exactly... because our inequality symbol would have been \[\leq \] so that shading is going to the left.
UsukiDoll
  • UsukiDoll
\[3x ≥ 6. \] ok first solve this inequality by dividing 3 on both sides.
UsukiDoll
  • UsukiDoll
then we can obtain x by itself and since we have \[\geq \] we should be shading to the right with a closed circle
UsukiDoll
  • UsukiDoll
I'll give a similar example suppose we are given \[4x \geq 16 \] solving for x by dividing both sides by 4, we get \[x \geq 4 \] since we have a \[\geq \] sign we have a closed circle and based on the opposite direction of the symbol's mouth, we are shading to the right. |dw:1437999750344:dw|

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