-x/2 + 3/2 < 5/2 Solve the inequality. Show your work

X2 32 Lt 52 Solve The Inequality Show Your Work class=

Sagot :

Answer:

x > -2

Step-by-step explanation:

[tex] -\frac{x}{2} + \frac{3}{2} < \frac{5}{2} [/tex]

Subtract ³/2 from each side

[tex] -\frac{x}{2} + \frac{3}{2} - \frac{3}{2} < \frac{5}{2} - \frac{3}{2} [/tex]

[tex] -\frac{x}{2} < \frac{5 - 3}{2} [/tex]

[tex] -\frac{x}{2} < \frac{2}{2} [/tex]

[tex] -\frac{x}{2} < 1 [/tex]

Multiply both sides by -2 (multiplying both sides by a negative number will change the sign of inequality from < to >)

[tex] -\frac{x}{2} * -2 < 1 * -2 [/tex]

x > -2