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First degree inequations

modification mardi 26 septembre 2026.

Inequalities without solution set by level

Inequalities without solution set by formula

Inequalities or double inequalities with solution set

Inequalities with solution set by level

Inequalities with solution set by formula

without solution set by level

First-degree inequalities. Level 1.

First-degree inequalities. Level 2.

First-degree inequalities. Level 3.

without solution set by formula

Inequality ax > b or ax 1

Inequality ax ≥ b or ax ≤ b with a > 1

Inequality x/a > 1/b or x/a < 1/b with a > 0

Inequality x/a ≥ 1/b or x/a ≤ 1/b with a > 0

Inequality -ax > b or -ax 0

Inequality -ax ≥ b or -ax ≤ b avec a > 0

Inequation ax - b > 0 or ax - b < 0 with a > 1

Inequality ax - b ≥ 0 or ax - b ≤ 0 with a > 1

Inequality ax - b > 0 or ax - b < 0 with a ≤ -1

Inequation ax - b ≥ 0 or ax - b ≤ 0 with a ≤ -1

Inequality ax + b > c or ax + b < c with a > 0

Inequality ax + b ≥ c or ax + b ≤ c with a > 0

Inequality -ax + b > c or -ax + b < c with a > 0

Inequality -ax + b ≥ c or -ax + b ≤ c with a > 0

Inequality ax + b > cx + d or ax + b < cx + d

Inequality ax + b ≥ cx + d ou ax + b ≤ cx + d

Inequation x/a > b or x/a 0 or a < 0

Inequality’ x/a ≥ b or x/a ≤ b with a > 0 or a < 0

Inequality -x/a > 1/b or -x/a < 1/b with a > 0

Inequality -x/a ≥ 1/b or -x/a ≤ 1/b with a > 0

Inequality (ax + b)/d > c or (ax + b)/d < c with a > 0, c > 0 and d > 0

Inequality (ax + b)/d ≥ c or (ax + b)/d ≤ c with a > 0, c > 0 and d > 0

Inequality (-ax + b)/d > c or (-ax + b)/d < c with a > 0 and d > 0

Inequality (-ax + b)/d ≥ c or (-ax + b)/d ≤ c with a > 0 and d > 0

Inequality (ax + b)/d > 1/c or (ax + b)/d <1/ c with a > 0, c > 0 and d > 0

Inequation (ax + b)/d ≥ 1/c or (ax + b)/d ≤ 1/ c with a > 0, c > 0 and d > 0

Inequality ax + (bx + c)/d > k or ax + (bx + c)/d < k with a > 0

Inequality ax + (bx + c)/d ≥ k or ax + (bx + c)/d ≤ k with a > 0

Inequality ax - (bx + c)/d > k or ax - (bx + c)/d < k with a > 0 and d > 0

Inequality ax - (bx + c)/d ≥ k or ax - (bx + c)/d ≤ k with a > 0 and d > 0

Inequalities or double inequalities with solution set

Intervals  : Resolutions of first degree inequalities or double inequalities with solution set

With solution set by level

First-degree inequalities. Level 1.

First-degree inequalities. Level 2.

First-degree inequalities. Level 3.

With solution set by formula

Inequality ax > b (or ax ≥ b) or ax 0 (with solution set)

Inequality -ax > b (or -ax ≥ b) or -ax 0 (with solution set)

Inequality -ax + b > 0 (or -ax + b ≥ 0) or -ax + b < 0 (or -ax + b ≤ 0) with a > 0 (with solution set)

Inequality x/a > b (or x/a ≥ b) or x/a 0 ou a < 0 (with solution set)

Inequality x/a > 1/b (or x/a ≥ 1/b) or x/a < 1/b (or x/a ≤ 1/b) with a > 0 (with solution set)

Inequality -x/a > 1/b (or -x/a ≥ 1/b) or -x/a < 1/b (or -x/a ≤ 1/b) avec a > 0 (with solution set)

Inequality ax - b > 0 (or ax - b ≥ 0) or ax - b < 0 (or ax - b ≤ 0) with a > 0 (with solution set)

Inequality -ax + b > 0 (or -ax + b ≥ 0) or -ax + b < 0 (or -ax + b ≤ 0) with a > 0 (with solution set)

Inequality -ax + b > c (or -ax + b ≥ c) or -ax + b < c (or -ax + b ≤ c) with a > 0 (with solution set)

Inequality ax + b > cx + d (or ax + b ≥ cx + d) or ax + b < cx + d (or ax + b ≤ cx + d) (with solution set)

Inequality (ax+b)/d > c (or (ax+b)/d ≥ c) or (ax+b)/d < c (or (ax+b)/d ≤ c) with a > 0, d > 0, c > 0 (with solution set)

Inequality (-ax+b)/d > c (or (-ax+b)/d ≥ c) or (-ax+b)/d < c (or (-ax+b)/d ≤ c) with a > 0, b > 0, c > 0 (with solution set)

Inequality a + (bx+c)/d > k (or a + (bx+c)/d ≥ k) or a + (bx+c)/d < k (or a + (bx+c)/d ≤ k) with a > 0, b > 0, c > 0, d > 0 (with solution set)

Inequality a - (bx+c)/d > k (or a - (bx+c)/d ≥ k) or a - (bx+c)/d < k (or a - (bx+c)/d ≤ k) with a > 0, b > 0, d > 0 (with solution set)