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Inequalities .............. --------------------------------------------Urgent question

Solve. Present your solution on a number line and interval notation
(1) -2x+51<9-8x
(2) x-3 ≤ -5 or 6x>-6
(3) -4x+13≤9 or 6-5x ≥21
(4) 7x-1 ≥13 or 4x +5 ≥-7
(5) -8x<-24
 
 
 
 
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1 Answer

Ideas:Collect variables in one side, and numbers in the other side and then solve.
1) 6x < -42 => x < -7
2) x ≤ -2 or x > -1
3) 4x ≥ 4 => x ≥ 1 or 5x ≤ -15 => x ≤ -3
4) 7x ≥ 14 => x ≥ 2 or 4x ≥-12 => x ≥ -3 Answer: x ≥ -3 (Attn)
5) x > 3