Question
Solve 5 (6 + 3r) + 7 ≥ 127
- r ≤ 6
- r ≥ 6
- r ≤ -6
- r ≥ -6
Hint:
ultimate goal is to find r
The correct answer is: r ≤ -6
5 (6 + 3r) + 7 ≥ 127
![s u b s t r a c t space b o t h space s i d e space b y space 7
5 left parenthesis 6 plus 3 r right parenthesis space plus 7 space minus 7 space greater or equal than space 127 space minus 7
5 left parenthesis 6 plus 3 r right parenthesis space greater or equal than space 120
n o w space w e space h a v e space t o space d i v i d e space b o t h space s i d e space b y space 5
fraction numerator 5 left parenthesis 6 plus 3 r right parenthesis over denominator 5 end fraction space greater or equal than 120 over 5
6 space plus 3 r space greater or equal than space 24
s u b s t r a c t space 6 space b o t h space s i d e space
6 plus 3 r space minus 6 space greater or equal than space 24 space minus 6
3 r space greater or equal than space 18
d i v i d e d space b y space 3 space b o t h space s i d e
fraction numerator 3 r over denominator 3 end fraction space greater or equal than 18 over 3
r greater or equal than 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when we multiply or divide by a negative number inequality sign will change
Related Questions to study
Solve -4x -7 ≥ 18
when we multiply or divide by a negative number inequality sign will change
Solve -4x -7 ≥ 18
when we multiply or divide by a negative number inequality sign will change
Solve 7(x + 3) < 5x + 13
when we multiply or divide by a negative number inequality sign will change
Solve 7(x + 3) < 5x + 13
when we multiply or divide by a negative number inequality sign will change
Solve:
3(x - 2) < 2(x + 9)
Solve:
3(x - 2) < 2(x + 9)
Solve -2 (x+2) < 12
when we multiply or divide by a negative number inequality sign will change
Solve -2 (x+2) < 12
when we multiply or divide by a negative number inequality sign will change
Solve 30b + 53 ≥ 18b – 83
Solve 30b + 53 ≥ 18b – 83
Solve 55c + 13 ≤ 75c + 39
Solve 55c + 13 ≤ 75c + 39
Solve 6(n + 2) < -72
Solve 6(n + 2) < -72
Solve -4x -7 ≥ 21
Solve -4x -7 ≥ 21
Solve -2 (x+2) < 14
multiply or divide by a negative number it will change the sign of inequality
Solve -2 (x+2) < 14
multiply or divide by a negative number it will change the sign of inequality
Solve for b.
2(b+1) +3≤7
Solve for b.
2(b+1) +3≤7
Solve for g.
2(g+1) +2 <10
Solve for g.
2(g+1) +2 <10
Solve for h.
3(h+1) <9
Solve for h.
3(h+1) <9
Solve for w.
2(w+2) <6
Solve for w.
2(w+2) <6
Dave has earned scores of 87, 81, 92, 88, and 83 on the first five of six math tests for the semester. He would like to finish the semester with a test average of at least 90. Find the score Dave needs to earn on the sixth test to achieve his goal.
Dave has earned scores of 87, 81, 92, 88, and 83 on the first five of six math tests for the semester. He would like to finish the semester with a test average of at least 90. Find the score Dave needs to earn on the sixth test to achieve his goal.
Solve -4x + 14 ≤ 54
multiply or divide by a negative number it will change the sign of inequality
Solve -4x + 14 ≤ 54
multiply or divide by a negative number it will change the sign of inequality