Answer:
Step-by-step explanation:
- 8x + 44 ≥ 60
Subtract 44 from both sides
- 8x + 44 - 44 ≥ 60 - 44
- 8x ≥ 16
Divide both sides by -8 and flip the inequality sign
-8x/-8 ≤ 16/-8
x ≤ -2
x = { ......... -4,-3,-2}
2) -4x + 50 < 58
Subtract 50from both sides
-4x + 50 -50 < 58- 50
-4x < 8
Divide both sides by -4 and flip the inequality sign
-4x/-4 > 8/-4
x > -2
x= {-1, 0 , 1 , 2....... }
Answer:
Step-by-step explanation:
1. [tex] - 8x + 44 \geqslant 60[/tex]
Move constant to R.H.S and change its sign
[tex] - 8x \geqslant 66 - 44[/tex]
Subtract the numbers
[tex] - 8x \geqslant 16[/tex]
Divide both sides of the inequality by -8 and flip the inequality sign
[tex]x \leqslant - 2[/tex]
2. [tex] - 4x + 50 < 58[/tex]
Move constant to the R.H.S and change its sign
[tex] - 4x < 58 - 50[/tex]
Subtract the numbers
[tex] - 4x < 8[/tex]
Divide both sides of the inequality by - 4 and flip the inequality sign
[tex]x > - 2[/tex]
Hope this helps...
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