9.5. Polynomial Inequalities
Solving a polynomial 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 each polynomial inequality.
Type the inequality as given in the problem with one inequality per line.
Examples
Solve each polynomial inequality.
1) 2x + (x – 1) > 5
2) 3x2 – 4 < –1
3) 2x3 + x2 – 5x – 2 ≤ 0
4) (2x – 1)(x2 – 1) (2x +3) ≥ 0
2) 3x2 – 4 < –1
3) 2x3 + x2 – 5x – 2 ≤ 0
4) (2x – 1)(x2 – 1) (2x +3) ≥ 0
Calculator solutions
1) Enter the expression: 2x + (x - 1) > 5.
Type the greater than sign ( > ) by tapping the closed parentheses " ) " three times.
2) Enter the expression: 3x^2 - 4 < -1.
Type the less than sign ( < ) by tapping the open parentheses " ( " three times.
3) Enter the expression: 2x^3 + x^2 - 5x - 2 < 0 as "2x^3 + x^2 - 5x - 2 <= 0."
Type the less than or equal to sign ( < ) by first typing the less than sign and then the equals sign " <= ".
4) Enter the expression: (2x - 1)(x^2 - 1)(2x + 3) > 0 as "(2x - 1)(x^2 - 1)(2x + 3) >= 0."
Type the inequality sign by first typing the less than sign " < " and then the greater than sign " > " to get "< >".
1) Enter the expression: 2x + (x - 1) > 5.
Type the greater than sign ( > ) by tapping the closed parentheses " ) " three times.
2) Enter the expression: 3x^2 - 4 < -1.
Type the less than sign ( < ) by tapping the open parentheses " ( " three times.
3) Enter the expression: 2x^3 + x^2 - 5x - 2 < 0 as "2x^3 + x^2 - 5x - 2 <= 0."
Type the less than or equal to sign ( < ) by first typing the less than sign and then the equals sign " <= ".
4) Enter the expression: (2x - 1)(x^2 - 1)(2x + 3) > 0 as "(2x - 1)(x^2 - 1)(2x + 3) >= 0."
Type the inequality sign by first typing the less than sign " < " and then the greater than sign " > " to get "< >".