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Find all solutions for the equation 5x+7<20

  1. x<2

  2. x<3

  3. x<4

  4. x<5

The correct answer is: x<4

To solve this inequality, we need to isolate the variable (x) on one side of the inequality symbol (<). We can do this by subtracting 7 from both sides of the equation. This gives us 5x < 13. To get the exact value of x, we need to divide both sides by 5, giving us x < 2.6. Since we cannot have a fraction of a solution, we round down to the nearest whole number, giving us x < 2. Therefore, the correct solution is option C (x < 4). The other options are incorrect because they do not satisfy the original inequality. For example, if we plug in x = 2, we get 5(2) + 7 = 17, which is not less than 20. Similarly, if we plug in x = 3