Domanda del libro di testo
Solve each quadratic equation using the square root property. See Example 6. (3x - 1)² = 12
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Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema R.6.75
Solve each inequality. Give the solution set using interval notation. See Examples 8 and 9. 5x +2 ≤ -48
Guida verificata passo dopo passo1
Start by isolating the variable term on one side of the inequality. Subtract 2 from both sides to get: \(5x + 2 - 2 \leq -48 - 2\).
Simplify both sides of the inequality: \(5x \leq -50\).
Next, divide both sides of the inequality by 5 to solve for \(x\). Since 5 is positive, the inequality direction remains the same: \(x \leq \frac{-50}{5}\).
Simplify the fraction to find the inequality for \(x\): \(x \leq -10\).
Express the solution set in interval notation. Since \(x\) is less than or equal to \(-10\), the solution set is \((-\infty, -10]\).
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Solving Linear Inequalities
A linear inequality involves an inequality sign (<, ≤, >, ≥) with a linear expression. To solve it, isolate the variable by performing inverse operations, similar to solving linear equations, but remember to reverse the inequality sign when multiplying or dividing by a negative number.
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7:48
Solving Linear Equations
Interval Notation
Interval notation is a way to represent solution sets of inequalities using intervals. It uses parentheses () for values not included and brackets [] for values included, indicating the range of possible solutions on the number line.
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Percorso guidato
06:01i & j Notation
Properties of Inequalities
Understanding how inequalities behave under addition, subtraction, multiplication, and division is crucial. Adding or subtracting the same number keeps the inequality direction, but multiplying or dividing by a negative number reverses it, which affects the solution set.
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Percorso guidato
2:20Imaginary Roots with the Square Root Property
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