To solve the inequality 5x + 2x – 4 < 0, we first combine like terms.
This simplifies to 7x – 4 < 0.
Next, we can isolate x by adding 4 to both sides:
7x < 4.
Now, divide both sides by 7:
x < rac{4}{7}.
This tells us that the solution set contains all values of x that are less than rac{4}{7}.
In interval notation, the solution set is expressed as (-∞, rac{4}{7}), which means any number less than rac{4}{7} satisfies the inequality.