Solve the inequality
-5x<15
x = -2
Is this correct? Are there supposed to be multiple solutions? This confuses me. Thanks.
When an inequality is divided or multiplied by a number, the sign is reversed:
-5x < 15.
X > -3.
Therefore, any number greater than -3 satisfies the inequality.
Correction: When an inequality is divided or multiplied by a negative number, the sign is reversed.
To solve the inequality -5x < 15, you need to isolate the variable x. Here's how you do it:
Step 1: Divide both sides of the inequality by -5, but remember that when you divide or multiply an inequality by a negative number, you need to reverse the inequality sign:
(-5x) / -5 > 15 / -5
x > -3
The inequality becomes x > -3.
Therefore, -2 is a valid solution to the inequality x > -3. However, it is not the only solution. Since the inequality is expressed as x > -3, any value of x greater than -3 satisfies this inequality.
Hence, there are infinitely many solutions to this inequality. Any value of x that is greater than -3, such as -2, -1, 0, 1, 2, and so on, would make the inequality true.