Question

Решить неравенства: 1. 7x<56; 2. –8x≤–30; 3. >9; 4. –3(2x+1)>5–2x; 5. –4(3–x) –2(3+x)≥0. ПОМОГИТЕ СРОЧНО!!!!! СДАЧА ЧЕРЕЗ ЧАС!!! ДАМ 20 БАЛЛОВ. ОФОРМЛЕНИЕ!!!

Answer 1

Пошаговое объяснение:

Третє не написала бо не зрозуміла умови

Answer 2

1. 7x < 56 To solve this inequality, divide both sides by 7: x < 8

2. -8x ≤ -30 Divide both sides by -8, remembering to reverse the inequality sign since dividing by a negative number flips the sign: x ≥ 3.75

3. > 9 This inequality is already solved. It means that x is any number greater than 9.

4. -3(2x+1) > 5-2x Simplify the expression on both sides: -6x - 3 > 5 - 2x Move the x terms to one side and the constant terms to the other side: -6x + 2x > 5 + 3 Simplify further: -4x > 8 Divide both sides by -4, remembering to reverse the inequality sign: x < -2

5. -4(3 - x) - 2(3 + x) ≥ 0 Simplify the expression on both sides: -12 + 4x - 6 - 2x ≥ 0 Combine like terms: 2x - 18 ≥ 0 Add 18 to both sides: 2x ≥ 18 Divide both sides by 2: x ≥ 9

Summary: 1. x < 8 2. x ≥ 3.75 3. x > 9 4. x < -2 5. x ≥ 9