1) To solve the inequality |4x + 5| > 3, we can consider two cases: i) When 4x + 5 is positive: 4x + 5 > 3 4x > -2 x > -1/2 ii) When 4x + 5 is negative: -(4x + 5) > 3 -4x - 5 > 3 -4x > 8 x < -2 Therefore, the solution to the inequality |4x + 5| > 3 is x < -2 or x > -1/2.
2) To solve the equation (2x-3) = 4, we can isolate x by first adding 3 to both sides: 2x - 3 + 3 = 4 + 3 2x = 7 Dividing by 2 on both sides, we get: x = 7/2 or x = 3.5
Therefore, the solution to the equation (2x-3) = 4 is x = 3.5.
1) To solve the inequality |4x + 5| > 3, we can consider two cases:
i) When 4x + 5 is positive: 4x + 5 > 3
4x > -2
x > -1/2
ii) When 4x + 5 is negative: -(4x + 5) > 3
-4x - 5 > 3
-4x > 8
x < -2
Therefore, the solution to the inequality |4x + 5| > 3 is x < -2 or x > -1/2.
2) To solve the equation (2x-3) = 4, we can isolate x by first adding 3 to both sides:
2x - 3 + 3 = 4 + 3
2x = 7
Dividing by 2 on both sides, we get:
x = 7/2 or x = 3.5
Therefore, the solution to the equation (2x-3) = 4 is x = 3.5.