Question

√4-3x<7 решите неравенства

Answer 1

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Answer 2

To solve the inequality √(4 - 3x) < 7, follow these steps:

Step 1: Isolate the radical expression. √(4 - 3x) < 7

Step 2: Square both sides to eliminate the square root. When squaring an inequality, it is important to remember that the inequality sign may change if you square both sides of an inequality by a negative number. (√(4 - 3x))^2 < 7^2 4 - 3x < 49

Step 3: Now, solve for x: Subtract 4 from both sides to isolate the variable. -3x < 49 - 4 -3x < 45

Step 4: Divide both sides by -3, remembering to reverse the inequality since we are dividing by a negative number. x > 45 / -3 x > -15

Step 5: The solution to the inequality is x > -15. This means any value of x greater than -15 will satisfy the original inequality.

So, the solution to the inequality √(4 - 3x) < 7 is x > -15.