−4x+3<−2x−7−4𝑥+3<−2𝑥−7Step 1 of 2 : Write the solution using interval notation.
Question
−4x+3<−2x−7−4𝑥+3<−2𝑥−7Step 1 of 2 : Write the solution using interval notation.
Solution
To solve the inequality −4x + 3 < −2x - 7, follow these steps:
Step 1: Add 2x to both sides to get: -4x + 2x + 3 < -2x + 2x - 7 which simplifies to: -2x + 3 < -7
Step 2: Subtract 3 from both sides to get: -2x + 3 - 3 < -7 - 3 which simplifies to: -2x < -10
Step 3: Divide both sides by -2 (remember to flip the inequality sign because we are dividing by a negative number): -2x / -2 > -10 / -2 which simplifies to: x > 5
So, the solution in interval notation is (5, ∞).
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