Mathematics
Solve and graph the solution set of :
3x - 2 > 19 or 3 - 2x ≥ -7; x ∈ R
Linear Inequations
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Answer
Given,
3x - 2 > 19 or 3 - 2x ≥ -7
Solving, 3x - 2 > 19
⇒ 3x > 19 + 2
⇒ 3x > 21
⇒ x > 7
Solving, 3 - 2x ≥ -7
⇒ 2x ≤ 3 + 7
⇒ 2x ≤ 10
⇒ x ≤ 5.
Hence, x > 7 or x ≤ 5.
Solution on the number line is :
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