Question

3. Розв'яжiть нерiвнiсть: 7x ≥-14; 1) 2) 7x+3≤30-2x 3) 4(x+2) ≥-(1-2x)​

Answer 1

1) 7x ≥ -14 To solve for x, divide both sides by 7: x ≥ -2

2) 7x + 3 ≤ 30 - 2x + 3 Combine like terms: 9x + 3 ≤ 33 Subtract 3 from both sides: 9x ≤ 30 Divide both sides by 9: x ≤ 10/3

3) 4(x+2) ≥ -(1-2x) Distribute 4 on the left side: 4x + 8 ≥ -1 + 2x Subtract 2x from both sides: 2x + 8 ≥ -1 Subtract 8 from both sides: 2x ≥ -9 Divide both sides by 2: x ≥ -9/2