Write an inequality to represent the following statement. Eight times a number y subtracted by 12 is greater than −5 .(1 point)
8y - 12 > -5
Write an inequality to represent the following statement. Fourteen more than six times a number n is less than or equal to 22.(1 point)
6n + 14 ≤ 22
Solve the inequality: 8d−13<83 .(1 point)
To solve the inequality, isolate the variable d by adding 13 to both sides of the inequality:
8d - 13 + 13 < 83 + 13
8d < 96
Next, divide both sides of the inequality by 8 to solve for d:
(8d)/8 < 96/8
d < 12
Therefore, the solution to the inequality is d < 12.
Solve the inequality: −4f−3≥65 .(1 point)
To solve the inequality, isolate the variable f by adding 3 to both sides and then dividing by -4.
-4f - 3 + 3 ≥ 65 + 3
-4f ≥ 68
Next, divide both sides of the inequality by -4, remembering to flip the inequality sign when dividing by a negative number:
( -4f ) / ( -4 ) ≤ 68 / ( -4 )
f ≤ -17
Therefore, the solution to the inequality is f ≤ -17.
Solve the inequality: −10f+9≤102 . Use decimal form to answer to the nearest tenth.(1 point)
To solve the inequality, isolate the variable f by subtracting 9 from both sides:
-10f + 9 - 9 ≤ 102 - 9
-10f ≤ 93
Next, divide both sides of the inequality by -10, remembering to flip the inequality sign when dividing by a negative number:
(-10f) / (-10) ≥ 93 / (-10)
f ≥ -9.3
Therefore, the solution to the inequality is f ≥ -9.3.