PLEASE GIVE THE CORRECT DEFINITION FOR Slack inequation , Strict inequation , Linear inequation in one variable  , Linear inequation in two variables?

  • Strict inequality: Inequalities of the type px + q < 0, px + q > 0, px + qy < r, px + qy > r, ax2 + bx + c > 0, or ax2 + bx + c < 0 are classified as strict inequalities. For example: 2x < − 3, x + 17 < 9, x + 3y > 14, 2a + 5b < 8, 2y2 + 5y > 8 etc.

  • Slack inequality: Inequalities of the type px + q ≤ 0, px + q ≥ 0, px + qyr, px + qyr, ax2 + bx + c ≥ 0, or ax2 + bx + c ≤ 0 are classified as slack inequalities. For example: x ≤ 89, 5x + 8y ≤ 9, 8x + y ≥ 7, x + 14 ≥ 28, z2 + 3z ≤ 30 etc.

  • Linear inequality in one variable: Inequalities of the type px + q ≥ 0, px + q ≤ 0, px + q > 0, or px + q < 0, where p ≠ 0, are classified as linear inequalities in one variable (here, the variable in each inequality is x). For example: x − 23 ≥ 0, 12y < 85, etc.

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