9.6. Rational Inequalities
Solving a rational inequality means finding values for x that make the inequality true.
Type the inequality as given in the problem with one inequality per line.
Examples
Solve the given inequalities.
Type the inequality as given in the problem with one inequality per line.
Examples
Solve the given inequalities.
1 . | x+2 |  < 0 |
2x-1 |
2 . | x+2 |   ≤ x |
x-3 |
3 . | x2-2x+1 |   < 0 |
x-1 |
4 . | x2-2x+1 |   ≥ 0 |
x-1 |
5 . | 4x2-2 |   ≤ 0 |
2x+1 |
Calculator solutions
1) Type the expression: (x + 2)/(2x - 1) < 0.
Type the less than sign ( < ) by tapping the open parentheses " ( " three times.
2) Type the expression: (x + 2)/(x - 3) < x as "(x + 2)/(x - 3) <= x."
Type the less than or equal to sign ( < ) by first typing the less than sign and then the equals sign " <= ".
3) Type the expression: (x^2 - 2x + 1)/(x - 1) < 0.
Type the less than sign ( < ) by tapping the open parentheses " ( " three times.
4) Type the expression: (x^2 - 2x + 1)/(x - 1) > 0 as "(x^2 - 2x + 1)/(x - 1) >= 0."
Type the greater than or equal to sign ( > ) by first typing the greater than sign and then the equals sign " >= ".
5) Type the expression: (4x^2 - 2)/(2x + 1) < 0 as "(4x^2 - 2)/(2x + 1) <= 0."
Type the less than or equal to sign ( < ) by first typing the less than sign and then the equals sign " <= ".
1) Type the expression: (x + 2)/(2x - 1) < 0.
Type the less than sign ( < ) by tapping the open parentheses " ( " three times.
2) Type the expression: (x + 2)/(x - 3) < x as "(x + 2)/(x - 3) <= x."
Type the less than or equal to sign ( < ) by first typing the less than sign and then the equals sign " <= ".
3) Type the expression: (x^2 - 2x + 1)/(x - 1) < 0.
Type the less than sign ( < ) by tapping the open parentheses " ( " three times.
4) Type the expression: (x^2 - 2x + 1)/(x - 1) > 0 as "(x^2 - 2x + 1)/(x - 1) >= 0."
Type the greater than or equal to sign ( > ) by first typing the greater than sign and then the equals sign " >= ".
5) Type the expression: (4x^2 - 2)/(2x + 1) < 0 as "(4x^2 - 2)/(2x + 1) <= 0."
Type the less than or equal to sign ( < ) by first typing the less than sign and then the equals sign " <= ".