Respuesta :
Answer:x>7 or x ≤ -3
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
Step-by-step explanation:
Answer:
x> 7 OR x ≤−3
Step-by-step explanation:
−6x+14<−28 OR 9x+15≤−12
Solve them separately and then put back together
−6x+14<−28
Subtract 14 from each side
-6x +14-14 <-28-14
-6x <-42
Divide each side by -6, remembering to flip the inequality
-6x/-6 > -42/-6
x> 7
9x+15≤−12
Subtract 15 from each side
9x +15-15 ≤−12 -15
9x ≤−27
Divide each side by 9
9x/9 ≤−27/9
x ≤−3