The process of converting from interval to inequality requires the transformation of a range of values, presented in interval form, into statements of inequality. Take, for instance, the interval (2, 6); it would be translated into the inequality 2 < x < 6, suggesting that x lies between 2 and 6. In this context, square brackets [ or ] are used to denote values that are included in the range, while parenthesis ( or ) are used to indicate values that are excluded from the range.
| Topic | Problem | Solution |
|---|---|---|
| None | Translate the sentence into an incquality. The su… | Translate the sentence into an inequality. The sum of a number times 5 and 28 is at least 18. Use t… |
| None | Translate the sentence into an inequality. Twice … | Translate the sentence into an inequality: 'Twice the difference of a number and 9 is at least -21'… |
| None | Solve \[ -3 x \leq 0.9 \] Select the correct choi… | The inequality is -3x ≤ 0.9. |
| None | Graph. \[ x<-7 \] Plot the endpoints. Select an e… | The question is asking to graph the inequality \(x<-7\). This means we need to plot all the values … |
| None | 4. $-\frac{c}{2}-6>-8$ | Add 6 to both sides of the inequality: $-\frac{c}{2} > -2$ |
| None | Solve the following inequality. \[ 5 x+3>-5 \] | \(5x + 3 > -5\) |
| None | 8 Graph the solution to the following compound in… | The problem is asking to graph the solution of two inequalities. The first inequality is a linear i… |
| None | Solve the inequality. Then graph the solution and… | Given the compound inequality -18 ≤ -4x - 2 < -10, we need to solve for x. |
| None | 8. If $3<2 x-4<6$, which of the following inequal… | Add 4 to all sides of the inequality: $7<2x<10$ |