The above tell us that all values less than or equal to -4 will satisfy the inequality.
Checking Our Solution
We can check our solution by substituting a few values into the given inequality. The value satisfies the inequality if the inequality remains true after substituting and simplifying.
q
3(q+4)≤-2q-8
Simplify
True or False?
-2
3( -2+4)≤ -2( -2)-8
6≰-4
False
-4
3( -4+4)≤-2( -4)-8
0≤0
True
-6
3( -6+4)≤-2( -6)-8
-6≤4
True
We can conclude that as long as q is less than or equal to -4, the inequality is satisfied.
