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anonymous

  • one year ago

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

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  1. anonymous
    • one year ago
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    closed circle on 4 and all numbers to the left shaded

  2. UsukiDoll
    • one year ago
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    while the left shaded part is true. If we have a > or < sign, it should be an open circle

  3. UsukiDoll
    • one year ago
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    should we have a \[\leq \] or \[\geq \] we have a closed circle. I don't see those signs for x<4

  4. anonymous
    • one year ago
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    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

  5. UsukiDoll
    • one year ago
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    for that question, solve the inequality first. then since you have a \[\geq \] we have a closed circle

  6. UsukiDoll
    • one year ago
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    and graph according to the point of the symbol

  7. UsukiDoll
    • one year ago
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    for example if I want to graph x < 2 on a number line |dw:1437999382990:dw|

  8. anonymous
    • one year ago
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    so it will be the second one

  9. UsukiDoll
    • one year ago
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    |dw:1437999408835:dw|

  10. UsukiDoll
    • one year ago
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    no.... not exactly... because our inequality symbol would have been \[\leq \] so that shading is going to the left.

  11. UsukiDoll
    • one year ago
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    \[3x ≥ 6. \] ok first solve this inequality by dividing 3 on both sides.

  12. UsukiDoll
    • one year ago
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    then we can obtain x by itself and since we have \[\geq \] we should be shading to the right with a closed circle

  13. UsukiDoll
    • one year ago
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    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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