Question
Solving compound inequalities:
14 > ˣ⁺³⁵⁄₃ and ˣ⁻⁴⁶⁄₁₁ ≤-5
14 > ˣ⁺³⁵⁄₃ and ˣ⁻⁴⁶⁄₁₁ ≤-5
Answers
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Solution:
14 > ˣ⁺³⁵⁄₃
14 × 3/35 > ˣ
42 > ˣ
ˣ⁻⁴⁶⁄₁₁ ≤-5
ˣ - 46/11 ≤ -5
ˣ ≤ -41/11
Therefore, the solution to the compound inequality is -41/11 < ˣ ≤ 42.
14 > ˣ⁺³⁵⁄₃
14 × 3/35 > ˣ
42 > ˣ
ˣ⁻⁴⁶⁄₁₁ ≤-5
ˣ - 46/11 ≤ -5
ˣ ≤ -41/11
Therefore, the solution to the compound inequality is -41/11 < ˣ ≤ 42.