In Exercises 71-76, solve the given quadratic inequality by sketching the graph of the corresponding quadratic function. 71. $x^2 - 4 \le 0$ 73. $x^2 - 4x + 3 > 0$ 75. $-6x^2 + x + 7 > 0$ 72. $x^2 + 4x + 5 < 0$ 74. $x^2 + x - 2 > 0$ 76. $-5x^2 + 9x - 4 \le 0$
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To solve the quadratic inequality x^2 - 40 > 0, we first find the x-intercepts of the corresponding quadratic function y = x^2 - 40. Setting y = 0, we have x^2 - 40 = 0. Solving this equation, we find x = ±√40 = ±2√10. Next, we determine the sign of the Show more…
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