Which number line shows all the values of that make the inequality -3 +1 < 7 true?
1 answer:
Answer:
Number line D is true
Step-by-step explanation:
Given
See attachment for number lines
Required
Which number line makes the inequality true
First, we solve for x in
Divide through by -3
The inequality means x is greater than -2.
This means that, the line must point to the right of -2 and the "greater than" means that the circle must be opened
Number line D is true
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Answer: The correct option is (A). When the radicand is negative
Step-by-step explanation: We are given to select the correct option by which we can tell that a quadratic equation has no real solutions.
We know that for the quadratic equation
the radicand is given by
Based on the radicand "D", we have the following rules:
(i) If D > 0 (positive), then the two solutions are real and unequal.
(ii) If D = 0, then the two solutions are equal.
(iii) If D< 0 (negative), then the two solutions are complex (not real).
Thus, when the radicand is negative, then the quadratic equation has no real solutions.
Option (A) is correct.