Solve -6(d+2) < -9d+3(d-1) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$-6(d+2) < -9d+3(d-1)$$

Solve for d

$d\in \mathrm{R}$

Solution Steps

Use the distributive property to multiply $-6$ by $d+2$.

$$-6d-12<-9d+3\left(d-1\right)$$

Use the distributive property to multiply $3$ by $d-1$.

$$-6d-12<-9d+3d-3$$

Combine $-9d$ and $3d$ to get $-6d$.

$$-6d-12<-6d-3$$

Add $6d$ to both sides.

$$-6d-12+6d<-3$$

Combine $-6d$ and $6d$ to get $0$.

$$-12<-3$$

This is true for any $d$.

$$d\in \mathrm{R}$$