Solve the inequality and graph the solution. 15h+19≥ – 11
To solve the inequality 15h + 19 ≥ -11, we can first subtract 19 from both sides:
15h ≥ -11 - 19
15h ≥ -30
Next, we can divide both sides by 15 (remembering to reverse the inequality symbol since we are dividing by a negative number):
h ≥ -30/15
h ≥ -2
The solution to the inequality is h ≥ -2.
To graph this solution, we can plot a solid dot at -2 on a number line and then shade everything to the right of it, since h is greater than -2.
Solve the inequality and graph the solution. q/2 –1>1
To solve the inequality q/2 - 1 > 1, we can first add 1 to both sides:
q/2 - 1 + 1 > 1 + 1
q/2 > 2
Next, we can multiply both sides by 2 (remembering to reverse the inequality symbol since we are multiplying by a negative number):
2*(q/2) > 2*2
q > 4
The solution to the inequality is q > 4.
To graph this solution, we can plot an open circle at 4 on a number line and then shade everything to the right of it, since q is greater than 4.
Solve the inequality and graph the solution. s/2 +4≥6
To solve the inequality s/2 + 4 ≥ 6, we can first subtract 4 from both sides:
s/2 + 4 - 4 ≥ 6 - 4
s/2 ≥ 2
Next, we can multiply both sides by 2 (remembering to reverse the inequality symbol since we are multiplying by a negative number, in this case 2 is positive):
2 * (s/2) ≥ 2 * 2
s ≥ 4
The solution to the inequality is s ≥ 4.
To graph this solution, we can show a solid dot at 4 on the number line and shade everything to the right of it, since s is greater than or equal to 4.
Solve the inequality and graph the solution. 8a–12≤4
To solve the inequality 8a - 12 ≤ 4, we can first add 12 to both sides:
8a - 12 + 12 ≤ 4 + 12
8a ≤ 16
Next, we can divide both sides by 8:
(8a)/8 ≤ 16/8
a ≤ 2
The solution to the inequality is a ≤ 2.
To graph this solution, we can plot a solid dot at 2 on a number line and shade everything to the left of it, since a is less than or equal to 2.
Solve the inequality and graph the solution. – 1≥ q/2 +1
To solve the inequality -1 ≥ q/2 + 1, we can first subtract 1 from both sides:
-1 - 1 ≥ q/2 + 1 - 1
-2 ≥ q/2
Next, we can multiply both sides by 2 (remembering to reverse the inequality symbol since we are multiplying by a negative number):
2 * -2 ≤ 2 * (q/2)
-4 ≤ q
The solution to the inequality is q ≥ -4.
To graph this solution, we can plot a solid dot at -4 on a number line and shade everything to the right of it, since q is greater than or equal to -4.