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Notes
Questions
Solve for x.
\(\textbf{1)}\) \( 3x\gt18 \)
\(\textbf{2)}\) \( 5x\lt-45 \)
\(\textbf{3)}\) \( 6x\ge21 \)
\(\textbf{4)}\) \( -5x\le20 \)
\(\textbf{5)}\) \( \displaystyle\frac{x}{5}\lt-10 \)
\(\textbf{6)}\) \( -\displaystyle\frac{x}{6}\ge 12 \)
\(\textbf{7)}\) \( \displaystyle\frac{x}{3}\le9 \)
\(\textbf{8)}\) \( -\displaystyle\frac{x}{7}\le-7 \)
\(\textbf{9)}\) Express as an inequalitiy. The product of a number n and 4 is less than 10.
\(\textbf{10)}\) Express as an inequalitiy. A number n divided by 3 is at least 8.
See Related Pages\(\)
\(\bullet\text{ Inequality Calculator}\)
\(\,\,\,\,\,\,\,\,\text{(Symbolab.com)}\)
\(\bullet\text{ Solving Inequalities Addition and Subtraction}\)
\(\,\,\,\,\,\,\,\,4+x\ge12…\)
\(\bullet\text{ Solving Multi-step Inequalities}\)
\(\,\,\,\,\,\,\,\,18-4x \lt 2…\)
\(\bullet\text{ Solving Compound Inequalities}\)
\(\,\,\,\,\,\,\,\,3 \lt 6-2x \le 18\)
In Summary
Inequalities describe the range of values that a variable can take on. When solving for inequalities you want to get the variable alone on one side. Most of the inverse operations behave as they would with equations. There are some differences, specifically multiplication or division by a negative number. When dividing or multiplying both sides of an inequality by a negative number, the inequality sign changes directions. A less than would become a greater than and so on.
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