Solve Solve the inequalities : 4x - 10.3 <= 21x - 1.8 | 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

$$4 x - 10.3 \leq 21 x - 1.8$$

Solve for x

$x\geq -\frac{1}{2}$

Solution Steps

Subtract $21x$ from both sides.

$$4x-10.3-21x\leq -1.8$$

Combine $4x$ and $-21x$ to get $-17x$.

$$-17x-10.3\leq -1.8$$

Add $10.3$ to both sides.

$$-17x\leq -1.8+10.3$$

Add $-1.8$ and $10.3$ to get $8.5$.

$$-17x\leq 8.5$$

Divide both sides by $-17$. Since $-17$ is negative, the inequality direction is changed.

$$x\geq \frac{8.5}{-17}$$

Expand $\frac{8.5}{-17}$ by multiplying both numerator and the denominator by $10$.

$$x\geq \frac{85}{-170}$$

Reduce the fraction $\frac{85}{-170}$ to lowest terms by extracting and canceling out $85$.

$$x\geq -\frac{1}{2}$$