Solve 4x + 3 < 6x + 7
Solve 4x + 3 < 6x + 7
4x + 3 < 6x + 7
⇒ 4x + 3 – 3 < 6x + 7 – 3
⇒ 4x < 6x + 4
⇒ 4x – 6x < 6x – 6x + 4 (Rule 1)
⇒ –2x < 4
⇒
<
(Rule 2)
⇒ x < –2.
Solution set = (–2, ∞ ).
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