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$10x+470 \geq 2500$

SubIneq$\text{LHS}-470\geq\text{RHS}-470$

$10x\geq2030$

DivIneq$\left.\text{LHS}\middle/10\right.\geq\left.\text{RHS}\middle/10\right.$

$x\geq203$

b

This inequality tells us that all values greater than or equal to $203$ will satisfy the inequality. Notice that $x$ can equal $203,$ which we show with a closed circle on the number line.