find the solution set of the following quadratic inequalities then graph the solution on a number line.
[tex]2x {}^{2} \geqslant 98[/tex]
[tex]2x {}^{2} \geqslant 98[/tex]
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Answer:
{ x | x ≤ -7 U x ≥ 7 }
-------• •-------
<----------------------->
-7 7
Step-by-step explanation:
2x² ≥ 98
2x² - 98 ≥ 0
2x² - 98 = 0
2 ( x - 7 ) ( x + 7 ) = 0
x - 7 = 0, x + 7 = 0
x = 7, x = -7
-------• •-------
<----------------------->
-7 7
{ x | x ≤ -7 U x ≥ 7 }