Respuesta :

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The circle is open if the inequality is greater than (>) or less than (<) and closed if the inequality is greater than or equal to (≥) or less than or equal to (≤)
If the arrow points to the right (—>) towards bigger numbers, x (whatever number is on the line) will be GREATER (> or ≥)
If the arrow o points to the left (<—) towards smaller numbers, x will be LESSER (< or ≤)

1. Starts at -2 with a closed circle and goes in the positive direction —>
So x ≥ -2
2. Starts at 2 with an open circle and goes in the negative direction <—
So x<2

And the rest use the same method.

Answer:

Green answers in order of 1-7 as green appears

Just show the ones at start of each answer in bold

1)  x  ≥ -2    closed circle start   opp/s   x ≤ 0  closed circle stop

2) x < -2    open circle stops    opp/s   x ≥ 0  closed circle start

3) x > 2      open circle starts    opp/s   x ≤ 0  closed circle stops

4) x ≤ 2     closed circle stops  opp/s   x ≥ 0 closed circle starts

5) x < 2        open circle stops   opp/s  x ≥-6  closed circle starts  

6) x > 2      open circle starts   opp/s   x ≤ 6  closed circle stops  

7)  x < -2     open circle stops   opp/s   x ≥ -6  closed circle starts  

Step-by-step explanation:

Rule 1   closed circle is   ≥  right   open circle shows > right

Rule 2  closed circle is   ≤ left   open circle shows < left

Rule 3  with inequalities on line   x > 2 means it starts from this value and moves right.

Rule 4 with inequalities on line  x < 2 means it ends in this value.

Rule 5   Remember rule 3 and rule 4  for direction start and stop

remember rule 1+ rule 2 for choice of closed circle etc.

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